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Finding the Third Proportional to 80,498 and 127,650

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Solution

The third proportional to 80,498 and 127,650 is: 202,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,498 : 127,650 = 127,650 : x
  2. Step 2: Convert to fraction form
    80,498/127,650 = 127,650/x
  3. Step 3: Cross multiply
    80,498x = 127,650 × 127,650
  4. Step 4: Simplify right side
    80,498x = 16,294,522,500
  5. Step 5: Solve for x
    x = 16,294,522,500/80,498
  6. Step 6: Final answer
    x = 202,421.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.