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Finding the Third Proportional to 129,762 and 283,612

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Solution

The third proportional to 129,762 and 283,612 is: 619,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762 : 283,612 = 283,612 : x
  2. Step 2: Convert to fraction form
    129,762/283,612 = 283,612/x
  3. Step 3: Cross multiply
    129,762x = 283,612 × 283,612
  4. Step 4: Simplify right side
    129,762x = 80,435,766,544
  5. Step 5: Solve for x
    x = 80,435,766,544/129,762
  6. Step 6: Final answer
    x = 619,871.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.