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Finding the Third Proportional to 57,344.68 and 123,915.76

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Solution

The third proportional to 57,344.68 and 123,915.76 is: 267,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344.68 : 123,915.76 = 123,915.76 : x
  2. Step 2: Convert to fraction form
    57,344.68/123,915.76 = 123,915.76/x
  3. Step 3: Cross multiply
    57,344.68x = 123,915.76 × 123,915.76
  4. Step 4: Simplify right side
    57,344.68x = 15,355,116,002.34
  5. Step 5: Solve for x
    x = 15,355,116,002.34/57,344.68
  6. Step 6: Final answer
    x = 267,768.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.