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Finding the Third Proportional to 27,119 and 58,612

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Solution

The third proportional to 27,119 and 58,612 is: 126,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,119 : 58,612 = 58,612 : x
  2. Step 2: Convert to fraction form
    27,119/58,612 = 58,612/x
  3. Step 3: Cross multiply
    27,119x = 58,612 × 58,612
  4. Step 4: Simplify right side
    27,119x = 3,435,366,544
  5. Step 5: Solve for x
    x = 3,435,366,544/27,119
  6. Step 6: Final answer
    x = 126,677.48

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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.