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Finding the Third Proportional to 52,257.75 and 114,920.25

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Solution

The third proportional to 52,257.75 and 114,920.25 is: 252,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257.75 : 114,920.25 = 114,920.25 : x
  2. Step 2: Convert to fraction form
    52,257.75/114,920.25 = 114,920.25/x
  3. Step 3: Cross multiply
    52,257.75x = 114,920.25 × 114,920.25
  4. Step 4: Simplify right side
    52,257.75x = 13,206,663,860.06
  5. Step 5: Solve for x
    x = 13,206,663,860.06/52,257.75
  6. Step 6: Final answer
    x = 252,721.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.