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Finding the Third Proportional to 52,192.69 and 78,517.69

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Solution

The third proportional to 52,192.69 and 78,517.69 is: 118,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,192.69 : 78,517.69 = 78,517.69 : x
  2. Step 2: Convert to fraction form
    52,192.69/78,517.69 = 78,517.69/x
  3. Step 3: Cross multiply
    52,192.69x = 78,517.69 × 78,517.69
  4. Step 4: Simplify right side
    52,192.69x = 6,165,027,250.35
  5. Step 5: Solve for x
    x = 6,165,027,250.35/52,192.69
  6. Step 6: Final answer
    x = 118,120.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.