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Finding the Third Proportional to 80,677.13 and 128,134.13

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Solution

The third proportional to 80,677.13 and 128,134.13 is: 203,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,677.13 : 128,134.13 = 128,134.13 : x
  2. Step 2: Convert to fraction form
    80,677.13/128,134.13 = 128,134.13/x
  3. Step 3: Cross multiply
    80,677.13x = 128,134.13 × 128,134.13
  4. Step 4: Simplify right side
    80,677.13x = 16,418,353,989.52
  5. Step 5: Solve for x
    x = 16,418,353,989.52/80,677.13
  6. Step 6: Final answer
    x = 203,506.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.