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Finding the Third Proportional to 39,092 and 76,228

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Solution

The third proportional to 39,092 and 76,228 is: 148,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,092 : 76,228 = 76,228 : x
  2. Step 2: Convert to fraction form
    39,092/76,228 = 76,228/x
  3. Step 3: Cross multiply
    39,092x = 76,228 × 76,228
  4. Step 4: Simplify right side
    39,092x = 5,810,707,984
  5. Step 5: Solve for x
    x = 5,810,707,984/39,092
  6. Step 6: Final answer
    x = 148,641.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.