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Finding the Third Proportional to 63,738 and 140,061

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Solution

The third proportional to 63,738 and 140,061 is: 307,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,738 : 140,061 = 140,061 : x
  2. Step 2: Convert to fraction form
    63,738/140,061 = 140,061/x
  3. Step 3: Cross multiply
    63,738x = 140,061 × 140,061
  4. Step 4: Simplify right side
    63,738x = 19,617,083,721
  5. Step 5: Solve for x
    x = 19,617,083,721/63,738
  6. Step 6: Final answer
    x = 307,776.89

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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.