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Finding the Third Proportional to 42,264 and 89,244

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Solution

The third proportional to 42,264 and 89,244 is: 188,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,264 : 89,244 = 89,244 : x
  2. Step 2: Convert to fraction form
    42,264/89,244 = 89,244/x
  3. Step 3: Cross multiply
    42,264x = 89,244 × 89,244
  4. Step 4: Simplify right side
    42,264x = 7,964,491,536
  5. Step 5: Solve for x
    x = 7,964,491,536/42,264
  6. Step 6: Final answer
    x = 188,446.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.