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Finding the Third Proportional to 52,149.75 and 121,318.88

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Solution

The third proportional to 52,149.75 and 121,318.88 is: 282,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,149.75 : 121,318.88 = 121,318.88 : x
  2. Step 2: Convert to fraction form
    52,149.75/121,318.88 = 121,318.88/x
  3. Step 3: Cross multiply
    52,149.75x = 121,318.88 × 121,318.88
  4. Step 4: Simplify right side
    52,149.75x = 14,718,269,431.27
  5. Step 5: Solve for x
    x = 14,718,269,431.27/52,149.75
  6. Step 6: Final answer
    x = 282,230.87

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.