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Finding the Third Proportional to 83,020 and 125,394

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Solution

The third proportional to 83,020 and 125,394 is: 189,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,020 : 125,394 = 125,394 : x
  2. Step 2: Convert to fraction form
    83,020/125,394 = 125,394/x
  3. Step 3: Cross multiply
    83,020x = 125,394 × 125,394
  4. Step 4: Simplify right side
    83,020x = 15,723,655,236
  5. Step 5: Solve for x
    x = 15,723,655,236/83,020
  6. Step 6: Final answer
    x = 189,395.99

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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.