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Finding the Third Proportional to 57,500 and 123,424

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Solution

The third proportional to 57,500 and 123,424 is: 264,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,500 : 123,424 = 123,424 : x
  2. Step 2: Convert to fraction form
    57,500/123,424 = 123,424/x
  3. Step 3: Cross multiply
    57,500x = 123,424 × 123,424
  4. Step 4: Simplify right side
    57,500x = 15,233,483,776
  5. Step 5: Solve for x
    x = 15,233,483,776/57,500
  6. Step 6: Final answer
    x = 264,930.15

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Why These Related Problems?

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