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Finding the Third Proportional to 63,759 and 140,097

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Solution

The third proportional to 63,759 and 140,097 is: 307,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,759 : 140,097 = 140,097 : x
  2. Step 2: Convert to fraction form
    63,759/140,097 = 140,097/x
  3. Step 3: Cross multiply
    63,759x = 140,097 × 140,097
  4. Step 4: Simplify right side
    63,759x = 19,627,169,409
  5. Step 5: Solve for x
    x = 19,627,169,409/63,759
  6. Step 6: Final answer
    x = 307,833.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.