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Finding the Third Proportional to 56,958.75 and 131,862.75

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Solution

The third proportional to 56,958.75 and 131,862.75 is: 305,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,958.75 : 131,862.75 = 131,862.75 : x
  2. Step 2: Convert to fraction form
    56,958.75/131,862.75 = 131,862.75/x
  3. Step 3: Cross multiply
    56,958.75x = 131,862.75 × 131,862.75
  4. Step 4: Simplify right side
    56,958.75x = 17,387,784,837.56
  5. Step 5: Solve for x
    x = 17,387,784,837.56/56,958.75
  6. Step 6: Final answer
    x = 305,269.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.