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Finding the Third Proportional to 52,454.50 and 83,186.75

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Solution

The third proportional to 52,454.50 and 83,186.75 is: 131,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454.50 : 83,186.75 = 83,186.75 : x
  2. Step 2: Convert to fraction form
    52,454.50/83,186.75 = 83,186.75/x
  3. Step 3: Cross multiply
    52,454.50x = 83,186.75 × 83,186.75
  4. Step 4: Simplify right side
    52,454.50x = 6,920,035,375.56
  5. Step 5: Solve for x
    x = 6,920,035,375.56/52,454.50
  6. Step 6: Final answer
    x = 131,924.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.