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Finding the Third Proportional to 107,586 and 160,563

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Solution

The third proportional to 107,586 and 160,563 is: 239,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,586 : 160,563 = 160,563 : x
  2. Step 2: Convert to fraction form
    107,586/160,563 = 160,563/x
  3. Step 3: Cross multiply
    107,586x = 160,563 × 160,563
  4. Step 4: Simplify right side
    107,586x = 25,780,476,969
  5. Step 5: Solve for x
    x = 25,780,476,969/107,586
  6. Step 6: Final answer
    x = 239,626.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.