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Finding the Third Proportional to 42,250 and 89,252

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Solution

The third proportional to 42,250 and 89,252 is: 188,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,250 : 89,252 = 89,252 : x
  2. Step 2: Convert to fraction form
    42,250/89,252 = 89,252/x
  3. Step 3: Cross multiply
    42,250x = 89,252 × 89,252
  4. Step 4: Simplify right side
    42,250x = 7,965,919,504
  5. Step 5: Solve for x
    x = 7,965,919,504/42,250
  6. Step 6: Final answer
    x = 188,542.47

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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.