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Finding the Third Proportional to 55,514 and 119,890

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Solution

The third proportional to 55,514 and 119,890 is: 258,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514 : 119,890 = 119,890 : x
  2. Step 2: Convert to fraction form
    55,514/119,890 = 119,890/x
  3. Step 3: Cross multiply
    55,514x = 119,890 × 119,890
  4. Step 4: Simplify right side
    55,514x = 14,373,612,100
  5. Step 5: Solve for x
    x = 14,373,612,100/55,514
  6. Step 6: Final answer
    x = 258,918.69

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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.