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Finding the Third Proportional to 80,734 and 125,440

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Solution

The third proportional to 80,734 and 125,440 is: 194,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,734 : 125,440 = 125,440 : x
  2. Step 2: Convert to fraction form
    80,734/125,440 = 125,440/x
  3. Step 3: Cross multiply
    80,734x = 125,440 × 125,440
  4. Step 4: Simplify right side
    80,734x = 15,735,193,600
  5. Step 5: Solve for x
    x = 15,735,193,600/80,734
  6. Step 6: Final answer
    x = 194,901.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.