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Finding the Third Proportional to 71,398 and 103,750

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Solution

The third proportional to 71,398 and 103,750 is: 150,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,398 : 103,750 = 103,750 : x
  2. Step 2: Convert to fraction form
    71,398/103,750 = 103,750/x
  3. Step 3: Cross multiply
    71,398x = 103,750 × 103,750
  4. Step 4: Simplify right side
    71,398x = 10,764,062,500
  5. Step 5: Solve for x
    x = 10,764,062,500/71,398
  6. Step 6: Final answer
    x = 150,761.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.