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Finding the Third Proportional to 83,399 and 125,822

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Solution

The third proportional to 83,399 and 125,822 is: 189,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,399 : 125,822 = 125,822 : x
  2. Step 2: Convert to fraction form
    83,399/125,822 = 125,822/x
  3. Step 3: Cross multiply
    83,399x = 125,822 × 125,822
  4. Step 4: Simplify right side
    83,399x = 15,831,175,684
  5. Step 5: Solve for x
    x = 15,831,175,684/83,399
  6. Step 6: Final answer
    x = 189,824.53

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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.