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Finding the Third Proportional to 115,757 and 245,725

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Solution

The third proportional to 115,757 and 245,725 is: 521,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,757 : 245,725 = 245,725 : x
  2. Step 2: Convert to fraction form
    115,757/245,725 = 245,725/x
  3. Step 3: Cross multiply
    115,757x = 245,725 × 245,725
  4. Step 4: Simplify right side
    115,757x = 60,380,775,625
  5. Step 5: Solve for x
    x = 60,380,775,625/115,757
  6. Step 6: Final answer
    x = 521,616.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.