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Finding the Third Proportional to 52,618.50 and 80,494.50

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Solution

The third proportional to 52,618.50 and 80,494.50 is: 123,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,618.50 : 80,494.50 = 80,494.50 : x
  2. Step 2: Convert to fraction form
    52,618.50/80,494.50 = 80,494.50/x
  3. Step 3: Cross multiply
    52,618.50x = 80,494.50 × 80,494.50
  4. Step 4: Simplify right side
    52,618.50x = 6,479,364,530.25
  5. Step 5: Solve for x
    x = 6,479,364,530.25/52,618.50
  6. Step 6: Final answer
    x = 123,138.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.