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Finding the Third Proportional to 51,177 and 75,302

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Solution

The third proportional to 51,177 and 75,302 is: 110,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,177 : 75,302 = 75,302 : x
  2. Step 2: Convert to fraction form
    51,177/75,302 = 75,302/x
  3. Step 3: Cross multiply
    51,177x = 75,302 × 75,302
  4. Step 4: Simplify right side
    51,177x = 5,670,391,204
  5. Step 5: Solve for x
    x = 5,670,391,204/51,177
  6. Step 6: Final answer
    x = 110,799.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.