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Finding the Third Proportional to 83,024 and 125,400

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Solution

The third proportional to 83,024 and 125,400 is: 189,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,024 : 125,400 = 125,400 : x
  2. Step 2: Convert to fraction form
    83,024/125,400 = 125,400/x
  3. Step 3: Cross multiply
    83,024x = 125,400 × 125,400
  4. Step 4: Simplify right side
    83,024x = 15,725,160,000
  5. Step 5: Solve for x
    x = 15,725,160,000/83,024
  6. Step 6: Final answer
    x = 189,404.99

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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.