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Finding the Third Proportional to 55,517 and 119,896

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Solution

The third proportional to 55,517 and 119,896 is: 258,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,517 : 119,896 = 119,896 : x
  2. Step 2: Convert to fraction form
    55,517/119,896 = 119,896/x
  3. Step 3: Cross multiply
    55,517x = 119,896 × 119,896
  4. Step 4: Simplify right side
    55,517x = 14,375,050,816
  5. Step 5: Solve for x
    x = 14,375,050,816/55,517
  6. Step 6: Final answer
    x = 258,930.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.