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Finding the Third Proportional to 82,416 and 117,744

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Solution

The third proportional to 82,416 and 117,744 is: 168,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,416 : 117,744 = 117,744 : x
  2. Step 2: Convert to fraction form
    82,416/117,744 = 117,744/x
  3. Step 3: Cross multiply
    82,416x = 117,744 × 117,744
  4. Step 4: Simplify right side
    82,416x = 13,863,649,536
  5. Step 5: Solve for x
    x = 13,863,649,536/82,416
  6. Step 6: Final answer
    x = 168,215.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.