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Finding the Third Proportional to 54,038 and 116,399

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Solution

The third proportional to 54,038 and 116,399 is: 250,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038 : 116,399 = 116,399 : x
  2. Step 2: Convert to fraction form
    54,038/116,399 = 116,399/x
  3. Step 3: Cross multiply
    54,038x = 116,399 × 116,399
  4. Step 4: Simplify right side
    54,038x = 13,548,727,201
  5. Step 5: Solve for x
    x = 13,548,727,201/54,038
  6. Step 6: Final answer
    x = 250,725.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.