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Finding the Third Proportional to 49,689 and 74,343

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Solution

The third proportional to 49,689 and 74,343 is: 111,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,689 : 74,343 = 74,343 : x
  2. Step 2: Convert to fraction form
    49,689/74,343 = 74,343/x
  3. Step 3: Cross multiply
    49,689x = 74,343 × 74,343
  4. Step 4: Simplify right side
    49,689x = 5,526,881,649
  5. Step 5: Solve for x
    x = 5,526,881,649/49,689
  6. Step 6: Final answer
    x = 111,229.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.