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Finding the Third Proportional to 55,089 and 119,337

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Solution

The third proportional to 55,089 and 119,337 is: 258,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,089 : 119,337 = 119,337 : x
  2. Step 2: Convert to fraction form
    55,089/119,337 = 119,337/x
  3. Step 3: Cross multiply
    55,089x = 119,337 × 119,337
  4. Step 4: Simplify right side
    55,089x = 14,241,319,569
  5. Step 5: Solve for x
    x = 14,241,319,569/55,089
  6. Step 6: Final answer
    x = 258,514.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.