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Finding the Third Proportional to 55,874 and 119,236

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Solution

The third proportional to 55,874 and 119,236 is: 254,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874 : 119,236 = 119,236 : x
  2. Step 2: Convert to fraction form
    55,874/119,236 = 119,236/x
  3. Step 3: Cross multiply
    55,874x = 119,236 × 119,236
  4. Step 4: Simplify right side
    55,874x = 14,217,223,696
  5. Step 5: Solve for x
    x = 14,217,223,696/55,874
  6. Step 6: Final answer
    x = 254,451.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.