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Finding the Third Proportional to 80,209.13 and 112,134.38

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Solution

The third proportional to 80,209.13 and 112,134.38 is: 156,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,209.13 : 112,134.38 = 112,134.38 : x
  2. Step 2: Convert to fraction form
    80,209.13/112,134.38 = 112,134.38/x
  3. Step 3: Cross multiply
    80,209.13x = 112,134.38 × 112,134.38
  4. Step 4: Simplify right side
    80,209.13x = 12,574,118,056.64
  5. Step 5: Solve for x
    x = 12,574,118,056.64/80,209.13
  6. Step 6: Final answer
    x = 156,766.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.