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Finding the Third Proportional to 81,632 and 126,088

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Solution

The third proportional to 81,632 and 126,088 is: 194,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,632 : 126,088 = 126,088 : x
  2. Step 2: Convert to fraction form
    81,632/126,088 = 126,088/x
  3. Step 3: Cross multiply
    81,632x = 126,088 × 126,088
  4. Step 4: Simplify right side
    81,632x = 15,898,183,744
  5. Step 5: Solve for x
    x = 15,898,183,744/81,632
  6. Step 6: Final answer
    x = 194,754.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.