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Finding the Third Proportional to 61,712 and 92,864

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Solution

The third proportional to 61,712 and 92,864 is: 139,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712 : 92,864 = 92,864 : x
  2. Step 2: Convert to fraction form
    61,712/92,864 = 92,864/x
  3. Step 3: Cross multiply
    61,712x = 92,864 × 92,864
  4. Step 4: Simplify right side
    61,712x = 8,623,722,496
  5. Step 5: Solve for x
    x = 8,623,722,496/61,712
  6. Step 6: Final answer
    x = 139,741.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.