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Finding the Third Proportional to 124,330 and 187,532

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Solution

The third proportional to 124,330 and 187,532 is: 282,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,330 : 187,532 = 187,532 : x
  2. Step 2: Convert to fraction form
    124,330/187,532 = 187,532/x
  3. Step 3: Cross multiply
    124,330x = 187,532 × 187,532
  4. Step 4: Simplify right side
    124,330x = 35,168,251,024
  5. Step 5: Solve for x
    x = 35,168,251,024/124,330
  6. Step 6: Final answer
    x = 282,862.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.