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Finding the Third Proportional to 120,675 and 180,778.50

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Solution

The third proportional to 120,675 and 180,778.50 is: 270,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,675 : 180,778.50 = 180,778.50 : x
  2. Step 2: Convert to fraction form
    120,675/180,778.50 = 180,778.50/x
  3. Step 3: Cross multiply
    120,675x = 180,778.50 × 180,778.50
  4. Step 4: Simplify right side
    120,675x = 32,680,866,062.25
  5. Step 5: Solve for x
    x = 32,680,866,062.25/120,675
  6. Step 6: Final answer
    x = 270,817.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.