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Finding the Third Proportional to 61,533 and 80,793

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Solution

The third proportional to 61,533 and 80,793 is: 106,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,533 : 80,793 = 80,793 : x
  2. Step 2: Convert to fraction form
    61,533/80,793 = 80,793/x
  3. Step 3: Cross multiply
    61,533x = 80,793 × 80,793
  4. Step 4: Simplify right side
    61,533x = 6,527,508,849
  5. Step 5: Solve for x
    x = 6,527,508,849/61,533
  6. Step 6: Final answer
    x = 106,081.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.