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Finding the Third Proportional to 121,498 and 171,019

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Solution

The third proportional to 121,498 and 171,019 is: 240,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,498 : 171,019 = 171,019 : x
  2. Step 2: Convert to fraction form
    121,498/171,019 = 171,019/x
  3. Step 3: Cross multiply
    121,498x = 171,019 × 171,019
  4. Step 4: Simplify right side
    121,498x = 29,247,498,361
  5. Step 5: Solve for x
    x = 29,247,498,361/121,498
  6. Step 6: Final answer
    x = 240,724.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.