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Finding the Third Proportional to 42,802 and 92,372

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Solution

The third proportional to 42,802 and 92,372 is: 199,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802 : 92,372 = 92,372 : x
  2. Step 2: Convert to fraction form
    42,802/92,372 = 92,372/x
  3. Step 3: Cross multiply
    42,802x = 92,372 × 92,372
  4. Step 4: Simplify right side
    42,802x = 8,532,586,384
  5. Step 5: Solve for x
    x = 8,532,586,384/42,802
  6. Step 6: Final answer
    x = 199,350.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.