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Finding the Third Proportional to 61,488 and 97,872

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Solution

The third proportional to 61,488 and 97,872 is: 155,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,488 : 97,872 = 97,872 : x
  2. Step 2: Convert to fraction form
    61,488/97,872 = 97,872/x
  3. Step 3: Cross multiply
    61,488x = 97,872 × 97,872
  4. Step 4: Simplify right side
    61,488x = 9,578,928,384
  5. Step 5: Solve for x
    x = 9,578,928,384/61,488
  6. Step 6: Final answer
    x = 155,785.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.