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Finding the Third Proportional to 58,238.25 and 127,380.75

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Solution

The third proportional to 58,238.25 and 127,380.75 is: 278,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,238.25 : 127,380.75 = 127,380.75 : x
  2. Step 2: Convert to fraction form
    58,238.25/127,380.75 = 127,380.75/x
  3. Step 3: Cross multiply
    58,238.25x = 127,380.75 × 127,380.75
  4. Step 4: Simplify right side
    58,238.25x = 16,225,855,470.56
  5. Step 5: Solve for x
    x = 16,225,855,470.56/58,238.25
  6. Step 6: Final answer
    x = 278,611.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.