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Finding the Third Proportional to 129,624 and 187,332

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Solution

The third proportional to 129,624 and 187,332 is: 270,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,624 : 187,332 = 187,332 : x
  2. Step 2: Convert to fraction form
    129,624/187,332 = 187,332/x
  3. Step 3: Cross multiply
    129,624x = 187,332 × 187,332
  4. Step 4: Simplify right side
    129,624x = 35,093,278,224
  5. Step 5: Solve for x
    x = 35,093,278,224/129,624
  6. Step 6: Final answer
    x = 270,731.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.