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Finding the Third Proportional to 61,174 and 80,619

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Solution

The third proportional to 61,174 and 80,619 is: 106,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,174 : 80,619 = 80,619 : x
  2. Step 2: Convert to fraction form
    61,174/80,619 = 80,619/x
  3. Step 3: Cross multiply
    61,174x = 80,619 × 80,619
  4. Step 4: Simplify right side
    61,174x = 6,499,423,161
  5. Step 5: Solve for x
    x = 6,499,423,161/61,174
  6. Step 6: Final answer
    x = 106,244.86

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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.