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Finding the Third Proportional to 52,013.25 and 76,168.13

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Solution

The third proportional to 52,013.25 and 76,168.13 is: 111,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.25 : 76,168.13 = 76,168.13 : x
  2. Step 2: Convert to fraction form
    52,013.25/76,168.13 = 76,168.13/x
  3. Step 3: Cross multiply
    52,013.25x = 76,168.13 × 76,168.13
  4. Step 4: Simplify right side
    52,013.25x = 5,801,583,266.02
  5. Step 5: Solve for x
    x = 5,801,583,266.02/52,013.25
  6. Step 6: Final answer
    x = 111,540.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.