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Finding the Third Proportional to 52,288 and 78,922

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Solution

The third proportional to 52,288 and 78,922 is: 119,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,288 : 78,922 = 78,922 : x
  2. Step 2: Convert to fraction form
    52,288/78,922 = 78,922/x
  3. Step 3: Cross multiply
    52,288x = 78,922 × 78,922
  4. Step 4: Simplify right side
    52,288x = 6,228,682,084
  5. Step 5: Solve for x
    x = 6,228,682,084/52,288
  6. Step 6: Final answer
    x = 119,122.59

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