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Finding the Third Proportional to 43,648 and 95,792

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Solution

The third proportional to 43,648 and 95,792 is: 210,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648 : 95,792 = 95,792 : x
  2. Step 2: Convert to fraction form
    43,648/95,792 = 95,792/x
  3. Step 3: Cross multiply
    43,648x = 95,792 × 95,792
  4. Step 4: Simplify right side
    43,648x = 9,176,107,264
  5. Step 5: Solve for x
    x = 9,176,107,264/43,648
  6. Step 6: Final answer
    x = 210,229.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.