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Finding the Third Proportional to 43,143 and 96,330

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Solution

The third proportional to 43,143 and 96,330 is: 215,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,143 : 96,330 = 96,330 : x
  2. Step 2: Convert to fraction form
    43,143/96,330 = 96,330/x
  3. Step 3: Cross multiply
    43,143x = 96,330 × 96,330
  4. Step 4: Simplify right side
    43,143x = 9,279,468,900
  5. Step 5: Solve for x
    x = 9,279,468,900/43,143
  6. Step 6: Final answer
    x = 215,086.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.