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Finding the Third Proportional to 115,995 and 247,182

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Solution

The third proportional to 115,995 and 247,182 is: 526,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,995 : 247,182 = 247,182 : x
  2. Step 2: Convert to fraction form
    115,995/247,182 = 247,182/x
  3. Step 3: Cross multiply
    115,995x = 247,182 × 247,182
  4. Step 4: Simplify right side
    115,995x = 61,098,941,124
  5. Step 5: Solve for x
    x = 61,098,941,124/115,995
  6. Step 6: Final answer
    x = 526,737.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.