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Finding the Third Proportional to 54,650 and 80,031

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Solution

The third proportional to 54,650 and 80,031 is: 117,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650 : 80,031 = 80,031 : x
  2. Step 2: Convert to fraction form
    54,650/80,031 = 80,031/x
  3. Step 3: Cross multiply
    54,650x = 80,031 × 80,031
  4. Step 4: Simplify right side
    54,650x = 6,404,960,961
  5. Step 5: Solve for x
    x = 6,404,960,961/54,650
  6. Step 6: Final answer
    x = 117,199.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.