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Finding the Third Proportional to 67,915.13 and 147,517.31

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Solution

The third proportional to 67,915.13 and 147,517.31 is: 320,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,915.13 : 147,517.31 = 147,517.31 : x
  2. Step 2: Convert to fraction form
    67,915.13/147,517.31 = 147,517.31/x
  3. Step 3: Cross multiply
    67,915.13x = 147,517.31 × 147,517.31
  4. Step 4: Simplify right side
    67,915.13x = 21,761,357,487.22
  5. Step 5: Solve for x
    x = 21,761,357,487.22/67,915.13
  6. Step 6: Final answer
    x = 320,419.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.