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Finding the Third Proportional to 62,466 and 99,909

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Solution

The third proportional to 62,466 and 99,909 is: 159,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466 : 99,909 = 99,909 : x
  2. Step 2: Convert to fraction form
    62,466/99,909 = 99,909/x
  3. Step 3: Cross multiply
    62,466x = 99,909 × 99,909
  4. Step 4: Simplify right side
    62,466x = 9,981,808,281
  5. Step 5: Solve for x
    x = 9,981,808,281/62,466
  6. Step 6: Final answer
    x = 159,795.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.