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Finding the Third Proportional to 55,509 and 119,898

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Solution

The third proportional to 55,509 and 119,898 is: 258,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509 : 119,898 = 119,898 : x
  2. Step 2: Convert to fraction form
    55,509/119,898 = 119,898/x
  3. Step 3: Cross multiply
    55,509x = 119,898 × 119,898
  4. Step 4: Simplify right side
    55,509x = 14,375,530,404
  5. Step 5: Solve for x
    x = 14,375,530,404/55,509
  6. Step 6: Final answer
    x = 258,976.57

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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.