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Finding the Third Proportional to 115,981 and 179,583

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Solution

The third proportional to 115,981 and 179,583 is: 278,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,981 : 179,583 = 179,583 : x
  2. Step 2: Convert to fraction form
    115,981/179,583 = 179,583/x
  3. Step 3: Cross multiply
    115,981x = 179,583 × 179,583
  4. Step 4: Simplify right side
    115,981x = 32,250,053,889
  5. Step 5: Solve for x
    x = 32,250,053,889/115,981
  6. Step 6: Final answer
    x = 278,063.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.