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Finding the Third Proportional to 57,472 and 123,690

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Solution

The third proportional to 57,472 and 123,690 is: 266,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472 : 123,690 = 123,690 : x
  2. Step 2: Convert to fraction form
    57,472/123,690 = 123,690/x
  3. Step 3: Cross multiply
    57,472x = 123,690 × 123,690
  4. Step 4: Simplify right side
    57,472x = 15,299,216,100
  5. Step 5: Solve for x
    x = 15,299,216,100/57,472
  6. Step 6: Final answer
    x = 266,202.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.