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Finding the Third Proportional to 80,577.28 and 131,037.75

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Solution

The third proportional to 80,577.28 and 131,037.75 is: 213,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,577.28 : 131,037.75 = 131,037.75 : x
  2. Step 2: Convert to fraction form
    80,577.28/131,037.75 = 131,037.75/x
  3. Step 3: Cross multiply
    80,577.28x = 131,037.75 × 131,037.75
  4. Step 4: Simplify right side
    80,577.28x = 17,170,891,925.06
  5. Step 5: Solve for x
    x = 17,170,891,925.06/80,577.28
  6. Step 6: Final answer
    x = 213,098.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.