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Finding the Third Proportional to 41,965.88 and 90,143.44

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Solution

The third proportional to 41,965.88 and 90,143.44 is: 193,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,965.88 : 90,143.44 = 90,143.44 : x
  2. Step 2: Convert to fraction form
    41,965.88/90,143.44 = 90,143.44/x
  3. Step 3: Cross multiply
    41,965.88x = 90,143.44 × 90,143.44
  4. Step 4: Simplify right side
    41,965.88x = 8,125,839,324.32
  5. Step 5: Solve for x
    x = 8,125,839,324.32/41,965.88
  6. Step 6: Final answer
    x = 193,629.69

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1.5x scale

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.