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Finding the Third Proportional to 71,107 and 164,617

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Solution

The third proportional to 71,107 and 164,617 is: 381,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,107 : 164,617 = 164,617 : x
  2. Step 2: Convert to fraction form
    71,107/164,617 = 164,617/x
  3. Step 3: Cross multiply
    71,107x = 164,617 × 164,617
  4. Step 4: Simplify right side
    71,107x = 27,098,756,689
  5. Step 5: Solve for x
    x = 27,098,756,689/71,107
  6. Step 6: Final answer
    x = 381,098.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.