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Finding the Third Proportional to 54,463 and 113,915

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Solution

The third proportional to 54,463 and 113,915 is: 238,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,463 : 113,915 = 113,915 : x
  2. Step 2: Convert to fraction form
    54,463/113,915 = 113,915/x
  3. Step 3: Cross multiply
    54,463x = 113,915 × 113,915
  4. Step 4: Simplify right side
    54,463x = 12,976,627,225
  5. Step 5: Solve for x
    x = 12,976,627,225/54,463
  6. Step 6: Final answer
    x = 238,265.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.