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Finding the Third Proportional to 61,594 and 80,879

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Solution

The third proportional to 61,594 and 80,879 is: 106,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,594 : 80,879 = 80,879 : x
  2. Step 2: Convert to fraction form
    61,594/80,879 = 80,879/x
  3. Step 3: Cross multiply
    61,594x = 80,879 × 80,879
  4. Step 4: Simplify right side
    61,594x = 6,541,412,641
  5. Step 5: Solve for x
    x = 6,541,412,641/61,594
  6. Step 6: Final answer
    x = 106,202.11

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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.