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Finding the Third Proportional to 131,726.25 and 203,775.75

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Solution

The third proportional to 131,726.25 and 203,775.75 is: 315,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,726.25 : 203,775.75 = 203,775.75 : x
  2. Step 2: Convert to fraction form
    131,726.25/203,775.75 = 203,775.75/x
  3. Step 3: Cross multiply
    131,726.25x = 203,775.75 × 203,775.75
  4. Step 4: Simplify right side
    131,726.25x = 41,524,556,288.06
  5. Step 5: Solve for x
    x = 41,524,556,288.06/131,726.25
  6. Step 6: Final answer
    x = 315,233.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.