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Finding the Third Proportional to 71,802 and 112,931

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Solution

The third proportional to 71,802 and 112,931 is: 177,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802 : 112,931 = 112,931 : x
  2. Step 2: Convert to fraction form
    71,802/112,931 = 112,931/x
  3. Step 3: Cross multiply
    71,802x = 112,931 × 112,931
  4. Step 4: Simplify right side
    71,802x = 12,753,410,761
  5. Step 5: Solve for x
    x = 12,753,410,761/71,802
  6. Step 6: Final answer
    x = 177,619.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.