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Finding the Third Proportional to 55,876.50 and 121,578.75

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Solution

The third proportional to 55,876.50 and 121,578.75 is: 264,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876.50 : 121,578.75 = 121,578.75 : x
  2. Step 2: Convert to fraction form
    55,876.50/121,578.75 = 121,578.75/x
  3. Step 3: Cross multiply
    55,876.50x = 121,578.75 × 121,578.75
  4. Step 4: Simplify right side
    55,876.50x = 14,781,392,451.56
  5. Step 5: Solve for x
    x = 14,781,392,451.56/55,876.50
  6. Step 6: Final answer
    x = 264,536.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.