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Finding the Third Proportional to 42,990 and 94,452

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Solution

The third proportional to 42,990 and 94,452 is: 207,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,990 : 94,452 = 94,452 : x
  2. Step 2: Convert to fraction form
    42,990/94,452 = 94,452/x
  3. Step 3: Cross multiply
    42,990x = 94,452 × 94,452
  4. Step 4: Simplify right side
    42,990x = 8,921,180,304
  5. Step 5: Solve for x
    x = 8,921,180,304/42,990
  6. Step 6: Final answer
    x = 207,517.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.