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Finding the Third Proportional to 49,092 and 74,190

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Solution

The third proportional to 49,092 and 74,190 is: 112,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092 : 74,190 = 74,190 : x
  2. Step 2: Convert to fraction form
    49,092/74,190 = 74,190/x
  3. Step 3: Cross multiply
    49,092x = 74,190 × 74,190
  4. Step 4: Simplify right side
    49,092x = 5,504,156,100
  5. Step 5: Solve for x
    x = 5,504,156,100/49,092
  6. Step 6: Final answer
    x = 112,119.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.