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Finding the Third Proportional to 120,291 and 169,500

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Solution

The third proportional to 120,291 and 169,500 is: 238,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,291 : 169,500 = 169,500 : x
  2. Step 2: Convert to fraction form
    120,291/169,500 = 169,500/x
  3. Step 3: Cross multiply
    120,291x = 169,500 × 169,500
  4. Step 4: Simplify right side
    120,291x = 28,730,250,000
  5. Step 5: Solve for x
    x = 28,730,250,000/120,291
  6. Step 6: Final answer
    x = 238,839.56

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