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Finding the Third Proportional to 40,852 and 87,246

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Solution

The third proportional to 40,852 and 87,246 is: 186,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,852 : 87,246 = 87,246 : x
  2. Step 2: Convert to fraction form
    40,852/87,246 = 87,246/x
  3. Step 3: Cross multiply
    40,852x = 87,246 × 87,246
  4. Step 4: Simplify right side
    40,852x = 7,611,864,516
  5. Step 5: Solve for x
    x = 7,611,864,516/40,852
  6. Step 6: Final answer
    x = 186,327.83

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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.