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Finding the Third Proportional to 102,195.56 and 146,286.56

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Solution

The third proportional to 102,195.56 and 146,286.56 is: 209,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,195.56 : 146,286.56 = 146,286.56 : x
  2. Step 2: Convert to fraction form
    102,195.56/146,286.56 = 146,286.56/x
  3. Step 3: Cross multiply
    102,195.56x = 146,286.56 × 146,286.56
  4. Step 4: Simplify right side
    102,195.56x = 21,399,758,368.07
  5. Step 5: Solve for x
    x = 21,399,758,368.07/102,195.56
  6. Step 6: Final answer
    x = 209,400.07

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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.