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Finding the Third Proportional to 61,474 and 84,531

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Solution

The third proportional to 61,474 and 84,531 is: 116,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,474 : 84,531 = 84,531 : x
  2. Step 2: Convert to fraction form
    61,474/84,531 = 84,531/x
  3. Step 3: Cross multiply
    61,474x = 84,531 × 84,531
  4. Step 4: Simplify right side
    61,474x = 7,145,489,961
  5. Step 5: Solve for x
    x = 7,145,489,961/61,474
  6. Step 6: Final answer
    x = 116,235.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.