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Finding the Third Proportional to 51,042 and 78,849

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Solution

The third proportional to 51,042 and 78,849 is: 121,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,042 : 78,849 = 78,849 : x
  2. Step 2: Convert to fraction form
    51,042/78,849 = 78,849/x
  3. Step 3: Cross multiply
    51,042x = 78,849 × 78,849
  4. Step 4: Simplify right side
    51,042x = 6,217,164,801
  5. Step 5: Solve for x
    x = 6,217,164,801/51,042
  6. Step 6: Final answer
    x = 121,804.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.