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Finding the Third Proportional to 63,778 and 140,131

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Solution

The third proportional to 63,778 and 140,131 is: 307,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,778 : 140,131 = 140,131 : x
  2. Step 2: Convert to fraction form
    63,778/140,131 = 140,131/x
  3. Step 3: Cross multiply
    63,778x = 140,131 × 140,131
  4. Step 4: Simplify right side
    63,778x = 19,636,697,161
  5. Step 5: Solve for x
    x = 19,636,697,161/63,778
  6. Step 6: Final answer
    x = 307,891.39

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