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Finding the Third Proportional to 55,876 and 119,480

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Solution

The third proportional to 55,876 and 119,480 is: 255,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876 : 119,480 = 119,480 : x
  2. Step 2: Convert to fraction form
    55,876/119,480 = 119,480/x
  3. Step 3: Cross multiply
    55,876x = 119,480 × 119,480
  4. Step 4: Simplify right side
    55,876x = 14,275,470,400
  5. Step 5: Solve for x
    x = 14,275,470,400/55,876
  6. Step 6: Final answer
    x = 255,484.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.