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Finding the Third Proportional to 83,124 and 125,559

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Solution

The third proportional to 83,124 and 125,559 is: 189,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,124 : 125,559 = 125,559 : x
  2. Step 2: Convert to fraction form
    83,124/125,559 = 125,559/x
  3. Step 3: Cross multiply
    83,124x = 125,559 × 125,559
  4. Step 4: Simplify right side
    83,124x = 15,765,062,481
  5. Step 5: Solve for x
    x = 15,765,062,481/83,124
  6. Step 6: Final answer
    x = 189,657.17

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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.