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Finding the Third Proportional to 63,781 and 139,647

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Solution

The third proportional to 63,781 and 139,647 is: 305,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,781 : 139,647 = 139,647 : x
  2. Step 2: Convert to fraction form
    63,781/139,647 = 139,647/x
  3. Step 3: Cross multiply
    63,781x = 139,647 × 139,647
  4. Step 4: Simplify right side
    63,781x = 19,501,284,609
  5. Step 5: Solve for x
    x = 19,501,284,609/63,781
  6. Step 6: Final answer
    x = 305,753.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.