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Finding the Third Proportional to 52,077 and 78,845

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Solution

The third proportional to 52,077 and 78,845 is: 119,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077 : 78,845 = 78,845 : x
  2. Step 2: Convert to fraction form
    52,077/78,845 = 78,845/x
  3. Step 3: Cross multiply
    52,077x = 78,845 × 78,845
  4. Step 4: Simplify right side
    52,077x = 6,216,534,025
  5. Step 5: Solve for x
    x = 6,216,534,025/52,077
  6. Step 6: Final answer
    x = 119,371.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.