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Finding the Third Proportional to 48,606 and 76,149

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Solution

The third proportional to 48,606 and 76,149 is: 119,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606 : 76,149 = 76,149 : x
  2. Step 2: Convert to fraction form
    48,606/76,149 = 76,149/x
  3. Step 3: Cross multiply
    48,606x = 76,149 × 76,149
  4. Step 4: Simplify right side
    48,606x = 5,798,670,201
  5. Step 5: Solve for x
    x = 5,798,670,201/48,606
  6. Step 6: Final answer
    x = 119,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.