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Finding the Third Proportional to 80,138.25 and 124,582.50

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Solution

The third proportional to 80,138.25 and 124,582.50 is: 193,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138.25 : 124,582.50 = 124,582.50 : x
  2. Step 2: Convert to fraction form
    80,138.25/124,582.50 = 124,582.50/x
  3. Step 3: Cross multiply
    80,138.25x = 124,582.50 × 124,582.50
  4. Step 4: Simplify right side
    80,138.25x = 15,520,799,306.25
  5. Step 5: Solve for x
    x = 15,520,799,306.25/80,138.25
  6. Step 6: Final answer
    x = 193,675.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.