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Finding the Third Proportional to 51,806 and 80,237.75

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Solution

The third proportional to 51,806 and 80,237.75 is: 124,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806 : 80,237.75 = 80,237.75 : x
  2. Step 2: Convert to fraction form
    51,806/80,237.75 = 80,237.75/x
  3. Step 3: Cross multiply
    51,806x = 80,237.75 × 80,237.75
  4. Step 4: Simplify right side
    51,806x = 6,438,096,525.06
  5. Step 5: Solve for x
    x = 6,438,096,525.06/51,806
  6. Step 6: Final answer
    x = 124,273.18

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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.