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Finding the Third Proportional to 82,190 and 177,040

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Solution

The third proportional to 82,190 and 177,040 is: 381,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,190 : 177,040 = 177,040 : x
  2. Step 2: Convert to fraction form
    82,190/177,040 = 177,040/x
  3. Step 3: Cross multiply
    82,190x = 177,040 × 177,040
  4. Step 4: Simplify right side
    82,190x = 31,343,161,600
  5. Step 5: Solve for x
    x = 31,343,161,600/82,190
  6. Step 6: Final answer
    x = 381,350.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.