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Finding the Third Proportional to 115,972.80 and 179,570.73

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Solution

The third proportional to 115,972.80 and 179,570.73 is: 278,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,972.80 : 179,570.73 = 179,570.73 : x
  2. Step 2: Convert to fraction form
    115,972.80/179,570.73 = 179,570.73/x
  3. Step 3: Cross multiply
    115,972.80x = 179,570.73 × 179,570.73
  4. Step 4: Simplify right side
    115,972.80x = 32,245,648,391.90
  5. Step 5: Solve for x
    x = 32,245,648,391.90/115,972.80
  6. Step 6: Final answer
    x = 278,044.92

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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.