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Finding the Third Proportional to 80,626 and 123,072

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Solution

The third proportional to 80,626 and 123,072 is: 187,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,626 : 123,072 = 123,072 : x
  2. Step 2: Convert to fraction form
    80,626/123,072 = 123,072/x
  3. Step 3: Cross multiply
    80,626x = 123,072 × 123,072
  4. Step 4: Simplify right side
    80,626x = 15,146,717,184
  5. Step 5: Solve for x
    x = 15,146,717,184/80,626
  6. Step 6: Final answer
    x = 187,863.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.