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Finding the Third Proportional to 54,491 and 116,758

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Solution

The third proportional to 54,491 and 116,758 is: 250,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491 : 116,758 = 116,758 : x
  2. Step 2: Convert to fraction form
    54,491/116,758 = 116,758/x
  3. Step 3: Cross multiply
    54,491x = 116,758 × 116,758
  4. Step 4: Simplify right side
    54,491x = 13,632,430,564
  5. Step 5: Solve for x
    x = 13,632,430,564/54,491
  6. Step 6: Final answer
    x = 250,177.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.