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Finding the Third Proportional to 55,612 and 121,016

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Solution

The third proportional to 55,612 and 121,016 is: 263,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,612 : 121,016 = 121,016 : x
  2. Step 2: Convert to fraction form
    55,612/121,016 = 121,016/x
  3. Step 3: Cross multiply
    55,612x = 121,016 × 121,016
  4. Step 4: Simplify right side
    55,612x = 14,644,872,256
  5. Step 5: Solve for x
    x = 14,644,872,256/55,612
  6. Step 6: Final answer
    x = 263,340.15

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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.