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Finding the Third Proportional to 49,614 and 117,097

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Solution

The third proportional to 49,614 and 117,097 is: 276,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,614 : 117,097 = 117,097 : x
  2. Step 2: Convert to fraction form
    49,614/117,097 = 117,097/x
  3. Step 3: Cross multiply
    49,614x = 117,097 × 117,097
  4. Step 4: Simplify right side
    49,614x = 13,711,707,409
  5. Step 5: Solve for x
    x = 13,711,707,409/49,614
  6. Step 6: Final answer
    x = 276,367.71

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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.