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Finding the Third Proportional to 61,089 and 80,517

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Solution

The third proportional to 61,089 and 80,517 is: 106,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,089 : 80,517 = 80,517 : x
  2. Step 2: Convert to fraction form
    61,089/80,517 = 80,517/x
  3. Step 3: Cross multiply
    61,089x = 80,517 × 80,517
  4. Step 4: Simplify right side
    61,089x = 6,482,987,289
  5. Step 5: Solve for x
    x = 6,482,987,289/61,089
  6. Step 6: Final answer
    x = 106,123.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.