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Finding the Third Proportional to 80,286.19 and 125,024.77

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Solution

The third proportional to 80,286.19 and 125,024.77 is: 194,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286.19 : 125,024.77 = 125,024.77 : x
  2. Step 2: Convert to fraction form
    80,286.19/125,024.77 = 125,024.77/x
  3. Step 3: Cross multiply
    80,286.19x = 125,024.77 × 125,024.77
  4. Step 4: Simplify right side
    80,286.19x = 15,631,192,019.59
  5. Step 5: Solve for x
    x = 15,631,192,019.59/80,286.19
  6. Step 6: Final answer
    x = 194,693.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.