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Finding the Third Proportional to 83,416 and 125,843

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Solution

The third proportional to 83,416 and 125,843 is: 189,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,416 : 125,843 = 125,843 : x
  2. Step 2: Convert to fraction form
    83,416/125,843 = 125,843/x
  3. Step 3: Cross multiply
    83,416x = 125,843 × 125,843
  4. Step 4: Simplify right side
    83,416x = 15,836,460,649
  5. Step 5: Solve for x
    x = 15,836,460,649/83,416
  6. Step 6: Final answer
    x = 189,849.20

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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.