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Finding the Third Proportional to 105,996.94 and 151,728.19

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Solution

The third proportional to 105,996.94 and 151,728.19 is: 217,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,996.94 : 151,728.19 = 151,728.19 : x
  2. Step 2: Convert to fraction form
    105,996.94/151,728.19 = 151,728.19/x
  3. Step 3: Cross multiply
    105,996.94x = 151,728.19 × 151,728.19
  4. Step 4: Simplify right side
    105,996.94x = 23,021,442,882.04
  5. Step 5: Solve for x
    x = 23,021,442,882.04/105,996.94
  6. Step 6: Final answer
    x = 217,189.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.