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Finding the Third Proportional to 67,524.75 and 145,295.44

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Solution

The third proportional to 67,524.75 and 145,295.44 is: 312,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,524.75 : 145,295.44 = 145,295.44 : x
  2. Step 2: Convert to fraction form
    67,524.75/145,295.44 = 145,295.44/x
  3. Step 3: Cross multiply
    67,524.75x = 145,295.44 × 145,295.44
  4. Step 4: Simplify right side
    67,524.75x = 21,110,764,158.32
  5. Step 5: Solve for x
    x = 21,110,764,158.32/67,524.75
  6. Step 6: Final answer
    x = 312,637.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.