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Finding the Third Proportional to 74,081.25 and 114,882.75

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Solution

The third proportional to 74,081.25 and 114,882.75 is: 178,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,081.25 : 114,882.75 = 114,882.75 : x
  2. Step 2: Convert to fraction form
    74,081.25/114,882.75 = 114,882.75/x
  3. Step 3: Cross multiply
    74,081.25x = 114,882.75 × 114,882.75
  4. Step 4: Simplify right side
    74,081.25x = 13,198,046,247.56
  5. Step 5: Solve for x
    x = 13,198,046,247.56/74,081.25
  6. Step 6: Final answer
    x = 178,156.37

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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.