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Finding the Third Proportional to 51,726.75 and 110,832.75

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Solution

The third proportional to 51,726.75 and 110,832.75 is: 237,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,726.75 : 110,832.75 = 110,832.75 : x
  2. Step 2: Convert to fraction form
    51,726.75/110,832.75 = 110,832.75/x
  3. Step 3: Cross multiply
    51,726.75x = 110,832.75 × 110,832.75
  4. Step 4: Simplify right side
    51,726.75x = 12,283,898,472.56
  5. Step 5: Solve for x
    x = 12,283,898,472.56/51,726.75
  6. Step 6: Final answer
    x = 237,476.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.