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Finding the Third Proportional to 107,976.38 and 252,247.13

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Solution

The third proportional to 107,976.38 and 252,247.13 is: 589,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,976.38 : 252,247.13 = 252,247.13 : x
  2. Step 2: Convert to fraction form
    107,976.38/252,247.13 = 252,247.13/x
  3. Step 3: Cross multiply
    107,976.38x = 252,247.13 × 252,247.13
  4. Step 4: Simplify right side
    107,976.38x = 63,628,612,070.77
  5. Step 5: Solve for x
    x = 63,628,612,070.77/107,976.38
  6. Step 6: Final answer
    x = 589,282.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.