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Finding the Third Proportional to 55,876 and 121,592

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Solution

The third proportional to 55,876 and 121,592 is: 264,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876 : 121,592 = 121,592 : x
  2. Step 2: Convert to fraction form
    55,876/121,592 = 121,592/x
  3. Step 3: Cross multiply
    55,876x = 121,592 × 121,592
  4. Step 4: Simplify right side
    55,876x = 14,784,614,464
  5. Step 5: Solve for x
    x = 14,784,614,464/55,876
  6. Step 6: Final answer
    x = 264,596.87

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