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Finding the Third Proportional to 43,733 and 90,578

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Solution

The third proportional to 43,733 and 90,578 is: 187,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,733 : 90,578 = 90,578 : x
  2. Step 2: Convert to fraction form
    43,733/90,578 = 90,578/x
  3. Step 3: Cross multiply
    43,733x = 90,578 × 90,578
  4. Step 4: Simplify right side
    43,733x = 8,204,374,084
  5. Step 5: Solve for x
    x = 8,204,374,084/43,733
  6. Step 6: Final answer
    x = 187,601.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.