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Finding the Third Proportional to 54,186 and 115,883

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Solution

The third proportional to 54,186 and 115,883 is: 247,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,186 : 115,883 = 115,883 : x
  2. Step 2: Convert to fraction form
    54,186/115,883 = 115,883/x
  3. Step 3: Cross multiply
    54,186x = 115,883 × 115,883
  4. Step 4: Simplify right side
    54,186x = 13,428,869,689
  5. Step 5: Solve for x
    x = 13,428,869,689/54,186
  6. Step 6: Final answer
    x = 247,829.14

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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.