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Finding the Third Proportional to 41,118 and 87,852

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Solution

The third proportional to 41,118 and 87,852 is: 187,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118 : 87,852 = 87,852 : x
  2. Step 2: Convert to fraction form
    41,118/87,852 = 87,852/x
  3. Step 3: Cross multiply
    41,118x = 87,852 × 87,852
  4. Step 4: Simplify right side
    41,118x = 7,717,973,904
  5. Step 5: Solve for x
    x = 7,717,973,904/41,118
  6. Step 6: Final answer
    x = 187,703.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.