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Finding the Third Proportional to 66,934 and 107,617

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Solution

The third proportional to 66,934 and 107,617 is: 173,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,934 : 107,617 = 107,617 : x
  2. Step 2: Convert to fraction form
    66,934/107,617 = 107,617/x
  3. Step 3: Cross multiply
    66,934x = 107,617 × 107,617
  4. Step 4: Simplify right side
    66,934x = 11,581,418,689
  5. Step 5: Solve for x
    x = 11,581,418,689/66,934
  6. Step 6: Final answer
    x = 173,027.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.