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Finding the Third Proportional to 106,366 and 161,759

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Solution

The third proportional to 106,366 and 161,759 is: 245,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,366 : 161,759 = 161,759 : x
  2. Step 2: Convert to fraction form
    106,366/161,759 = 161,759/x
  3. Step 3: Cross multiply
    106,366x = 161,759 × 161,759
  4. Step 4: Simplify right side
    106,366x = 26,165,974,081
  5. Step 5: Solve for x
    x = 26,165,974,081/106,366
  6. Step 6: Final answer
    x = 245,999.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.