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Finding the Third Proportional to 80,114.50 and 125,671

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Solution

The third proportional to 80,114.50 and 125,671 is: 197,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114.50 : 125,671 = 125,671 : x
  2. Step 2: Convert to fraction form
    80,114.50/125,671 = 125,671/x
  3. Step 3: Cross multiply
    80,114.50x = 125,671 × 125,671
  4. Step 4: Simplify right side
    80,114.50x = 15,793,200,241
  5. Step 5: Solve for x
    x = 15,793,200,241/80,114.50
  6. Step 6: Final answer
    x = 197,132.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.