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Finding the Third Proportional to 42,982 and 92,314

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Solution

The third proportional to 42,982 and 92,314 is: 198,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,982 : 92,314 = 92,314 : x
  2. Step 2: Convert to fraction form
    42,982/92,314 = 92,314/x
  3. Step 3: Cross multiply
    42,982x = 92,314 × 92,314
  4. Step 4: Simplify right side
    42,982x = 8,521,874,596
  5. Step 5: Solve for x
    x = 8,521,874,596/42,982
  6. Step 6: Final answer
    x = 198,266.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.