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Finding the Third Proportional to 83,570 and 125,373

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Solution

The third proportional to 83,570 and 125,373 is: 188,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,570 : 125,373 = 125,373 : x
  2. Step 2: Convert to fraction form
    83,570/125,373 = 125,373/x
  3. Step 3: Cross multiply
    83,570x = 125,373 × 125,373
  4. Step 4: Simplify right side
    83,570x = 15,718,389,129
  5. Step 5: Solve for x
    x = 15,718,389,129/83,570
  6. Step 6: Final answer
    x = 188,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.