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Finding the Third Proportional to 51,348 and 76,269

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Solution

The third proportional to 51,348 and 76,269 is: 113,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,348 : 76,269 = 76,269 : x
  2. Step 2: Convert to fraction form
    51,348/76,269 = 76,269/x
  3. Step 3: Cross multiply
    51,348x = 76,269 × 76,269
  4. Step 4: Simplify right side
    51,348x = 5,816,960,361
  5. Step 5: Solve for x
    x = 5,816,960,361/51,348
  6. Step 6: Final answer
    x = 113,285.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.