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Finding the Third Proportional to 54,182 and 115,880

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Solution

The third proportional to 54,182 and 115,880 is: 247,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,182 : 115,880 = 115,880 : x
  2. Step 2: Convert to fraction form
    54,182/115,880 = 115,880/x
  3. Step 3: Cross multiply
    54,182x = 115,880 × 115,880
  4. Step 4: Simplify right side
    54,182x = 13,428,174,400
  5. Step 5: Solve for x
    x = 13,428,174,400/54,182
  6. Step 6: Final answer
    x = 247,834.60

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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.