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Finding the Third Proportional to 83,202 and 125,865

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Solution

The third proportional to 83,202 and 125,865 is: 190,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202 : 125,865 = 125,865 : x
  2. Step 2: Convert to fraction form
    83,202/125,865 = 125,865/x
  3. Step 3: Cross multiply
    83,202x = 125,865 × 125,865
  4. Step 4: Simplify right side
    83,202x = 15,841,998,225
  5. Step 5: Solve for x
    x = 15,841,998,225/83,202
  6. Step 6: Final answer
    x = 190,404.06

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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.