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Finding the Third Proportional to 49,131 and 115,486

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Solution

The third proportional to 49,131 and 115,486 is: 271,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131 : 115,486 = 115,486 : x
  2. Step 2: Convert to fraction form
    49,131/115,486 = 115,486/x
  3. Step 3: Cross multiply
    49,131x = 115,486 × 115,486
  4. Step 4: Simplify right side
    49,131x = 13,337,016,196
  5. Step 5: Solve for x
    x = 13,337,016,196/49,131
  6. Step 6: Final answer
    x = 271,458.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.