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Finding the Third Proportional to 89,950 and 193,506

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Solution

The third proportional to 89,950 and 193,506 is: 416,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,950 : 193,506 = 193,506 : x
  2. Step 2: Convert to fraction form
    89,950/193,506 = 193,506/x
  3. Step 3: Cross multiply
    89,950x = 193,506 × 193,506
  4. Step 4: Simplify right side
    89,950x = 37,444,572,036
  5. Step 5: Solve for x
    x = 37,444,572,036/89,950
  6. Step 6: Final answer
    x = 416,282.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.