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Finding the Third Proportional to 52,812.75 and 117,432.75

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Solution

The third proportional to 52,812.75 and 117,432.75 is: 261,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,812.75 : 117,432.75 = 117,432.75 : x
  2. Step 2: Convert to fraction form
    52,812.75/117,432.75 = 117,432.75/x
  3. Step 3: Cross multiply
    52,812.75x = 117,432.75 × 117,432.75
  4. Step 4: Simplify right side
    52,812.75x = 13,790,450,772.56
  5. Step 5: Solve for x
    x = 13,790,450,772.56/52,812.75
  6. Step 6: Final answer
    x = 261,119.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.