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Finding the Third Proportional to 57,007 and 123,750

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Solution

The third proportional to 57,007 and 123,750 is: 268,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007 : 123,750 = 123,750 : x
  2. Step 2: Convert to fraction form
    57,007/123,750 = 123,750/x
  3. Step 3: Cross multiply
    57,007x = 123,750 × 123,750
  4. Step 4: Simplify right side
    57,007x = 15,314,062,500
  5. Step 5: Solve for x
    x = 15,314,062,500/57,007
  6. Step 6: Final answer
    x = 268,634.77

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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.