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Finding the Third Proportional to 114,756.75 and 247,131

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Solution

The third proportional to 114,756.75 and 247,131 is: 532,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,756.75 : 247,131 = 247,131 : x
  2. Step 2: Convert to fraction form
    114,756.75/247,131 = 247,131/x
  3. Step 3: Cross multiply
    114,756.75x = 247,131 × 247,131
  4. Step 4: Simplify right side
    114,756.75x = 61,073,731,161
  5. Step 5: Solve for x
    x = 61,073,731,161/114,756.75
  6. Step 6: Final answer
    x = 532,201.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.