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Finding the Third Proportional to 80,269.73 and 125,000.72

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Solution

The third proportional to 80,269.73 and 125,000.72 is: 194,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,269.73 : 125,000.72 = 125,000.72 : x
  2. Step 2: Convert to fraction form
    80,269.73/125,000.72 = 125,000.72/x
  3. Step 3: Cross multiply
    80,269.73x = 125,000.72 × 125,000.72
  4. Step 4: Simplify right side
    80,269.73x = 15,625,179,688.02
  5. Step 5: Solve for x
    x = 15,625,179,688.02/80,269.73
  6. Step 6: Final answer
    x = 194,658.42

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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.