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Finding the Third Proportional to 83,073 and 125,600

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Solution

The third proportional to 83,073 and 125,600 is: 189,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073 : 125,600 = 125,600 : x
  2. Step 2: Convert to fraction form
    83,073/125,600 = 125,600/x
  3. Step 3: Cross multiply
    83,073x = 125,600 × 125,600
  4. Step 4: Simplify right side
    83,073x = 15,775,360,000
  5. Step 5: Solve for x
    x = 15,775,360,000/83,073
  6. Step 6: Final answer
    x = 189,897.56

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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.