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Finding the Third Proportional to 49,192 and 74,374

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Solution

The third proportional to 49,192 and 74,374 is: 112,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192 : 74,374 = 74,374 : x
  2. Step 2: Convert to fraction form
    49,192/74,374 = 74,374/x
  3. Step 3: Cross multiply
    49,192x = 74,374 × 74,374
  4. Step 4: Simplify right side
    49,192x = 5,531,491,876
  5. Step 5: Solve for x
    x = 5,531,491,876/49,192
  6. Step 6: Final answer
    x = 112,446.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.