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Finding the Third Proportional to 61,716 and 87,384

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Solution

The third proportional to 61,716 and 87,384 is: 123,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,716 : 87,384 = 87,384 : x
  2. Step 2: Convert to fraction form
    61,716/87,384 = 87,384/x
  3. Step 3: Cross multiply
    61,716x = 87,384 × 87,384
  4. Step 4: Simplify right side
    61,716x = 7,635,963,456
  5. Step 5: Solve for x
    x = 7,635,963,456/61,716
  6. Step 6: Final answer
    x = 123,727.45

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.