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Finding the Third Proportional to 54,489 and 116,754

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Solution

The third proportional to 54,489 and 116,754 is: 250,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,489 : 116,754 = 116,754 : x
  2. Step 2: Convert to fraction form
    54,489/116,754 = 116,754/x
  3. Step 3: Cross multiply
    54,489x = 116,754 × 116,754
  4. Step 4: Simplify right side
    54,489x = 13,631,496,516
  5. Step 5: Solve for x
    x = 13,631,496,516/54,489
  6. Step 6: Final answer
    x = 250,169.70

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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.