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Finding the Third Proportional to 63,761 and 140,101

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Solution

The third proportional to 63,761 and 140,101 is: 307,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,761 : 140,101 = 140,101 : x
  2. Step 2: Convert to fraction form
    63,761/140,101 = 140,101/x
  3. Step 3: Cross multiply
    63,761x = 140,101 × 140,101
  4. Step 4: Simplify right side
    63,761x = 19,628,290,201
  5. Step 5: Solve for x
    x = 19,628,290,201/63,761
  6. Step 6: Final answer
    x = 307,841.63

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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.