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Finding the Third Proportional to 52,072.88 and 78,838.88

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Solution

The third proportional to 52,072.88 and 78,838.88 is: 119,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.88 : 78,838.88 = 78,838.88 : x
  2. Step 2: Convert to fraction form
    52,072.88/78,838.88 = 78,838.88/x
  3. Step 3: Cross multiply
    52,072.88x = 78,838.88 × 78,838.88
  4. Step 4: Simplify right side
    52,072.88x = 6,215,568,211.27
  5. Step 5: Solve for x
    x = 6,215,568,211.27/52,072.88
  6. Step 6: Final answer
    x = 119,362.88

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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.