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Finding the Third Proportional to 41,407 and 85,852

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Solution

The third proportional to 41,407 and 85,852 is: 178,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407 : 85,852 = 85,852 : x
  2. Step 2: Convert to fraction form
    41,407/85,852 = 85,852/x
  3. Step 3: Cross multiply
    41,407x = 85,852 × 85,852
  4. Step 4: Simplify right side
    41,407x = 7,370,565,904
  5. Step 5: Solve for x
    x = 7,370,565,904/41,407
  6. Step 6: Final answer
    x = 178,002.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.