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Finding the Third Proportional to 120,862.13 and 152,998.88

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Solution

The third proportional to 120,862.13 and 152,998.88 is: 193,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,862.13 : 152,998.88 = 152,998.88 : x
  2. Step 2: Convert to fraction form
    120,862.13/152,998.88 = 152,998.88/x
  3. Step 3: Cross multiply
    120,862.13x = 152,998.88 × 152,998.88
  4. Step 4: Simplify right side
    120,862.13x = 23,408,655,751.27
  5. Step 5: Solve for x
    x = 23,408,655,751.27/120,862.13
  6. Step 6: Final answer
    x = 193,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.