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Finding the Third Proportional to 115,542 and 250,038

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Solution

The third proportional to 115,542 and 250,038 is: 541,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,542 : 250,038 = 250,038 : x
  2. Step 2: Convert to fraction form
    115,542/250,038 = 250,038/x
  3. Step 3: Cross multiply
    115,542x = 250,038 × 250,038
  4. Step 4: Simplify right side
    115,542x = 62,519,001,444
  5. Step 5: Solve for x
    x = 62,519,001,444/115,542
  6. Step 6: Final answer
    x = 541,093.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.