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Finding the Third Proportional to 63,780 and 139,042

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Solution

The third proportional to 63,780 and 139,042 is: 303,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,780 : 139,042 = 139,042 : x
  2. Step 2: Convert to fraction form
    63,780/139,042 = 139,042/x
  3. Step 3: Cross multiply
    63,780x = 139,042 × 139,042
  4. Step 4: Simplify right side
    63,780x = 19,332,677,764
  5. Step 5: Solve for x
    x = 19,332,677,764/63,780
  6. Step 6: Final answer
    x = 303,115.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.