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Finding the Third Proportional to 73,883.25 and 114,288.75

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Solution

The third proportional to 73,883.25 and 114,288.75 is: 176,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,883.25 : 114,288.75 = 114,288.75 : x
  2. Step 2: Convert to fraction form
    73,883.25/114,288.75 = 114,288.75/x
  3. Step 3: Cross multiply
    73,883.25x = 114,288.75 × 114,288.75
  4. Step 4: Simplify right side
    73,883.25x = 13,061,918,376.56
  5. Step 5: Solve for x
    x = 13,061,918,376.56/73,883.25
  6. Step 6: Final answer
    x = 176,791.33

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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.