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Finding the Third Proportional to 80,576 and 125,248

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Solution

The third proportional to 80,576 and 125,248 is: 194,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,576 : 125,248 = 125,248 : x
  2. Step 2: Convert to fraction form
    80,576/125,248 = 125,248/x
  3. Step 3: Cross multiply
    80,576x = 125,248 × 125,248
  4. Step 4: Simplify right side
    80,576x = 15,687,061,504
  5. Step 5: Solve for x
    x = 15,687,061,504/80,576
  6. Step 6: Final answer
    x = 194,686.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.