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Finding the Third Proportional to 49,615 and 117,098

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Solution

The third proportional to 49,615 and 117,098 is: 276,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,615 : 117,098 = 117,098 : x
  2. Step 2: Convert to fraction form
    49,615/117,098 = 117,098/x
  3. Step 3: Cross multiply
    49,615x = 117,098 × 117,098
  4. Step 4: Simplify right side
    49,615x = 13,711,941,604
  5. Step 5: Solve for x
    x = 13,711,941,604/49,615
  6. Step 6: Final answer
    x = 276,366.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.