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Finding the Third Proportional to 57,073 and 123,781

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Solution

The third proportional to 57,073 and 123,781 is: 268,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,073 : 123,781 = 123,781 : x
  2. Step 2: Convert to fraction form
    57,073/123,781 = 123,781/x
  3. Step 3: Cross multiply
    57,073x = 123,781 × 123,781
  4. Step 4: Simplify right side
    57,073x = 15,321,735,961
  5. Step 5: Solve for x
    x = 15,321,735,961/57,073
  6. Step 6: Final answer
    x = 268,458.57

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Why These Related Problems?

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