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Finding the Third Proportional to 40,203 and 87,858

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Solution

The third proportional to 40,203 and 87,858 is: 192,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,203 : 87,858 = 87,858 : x
  2. Step 2: Convert to fraction form
    40,203/87,858 = 87,858/x
  3. Step 3: Cross multiply
    40,203x = 87,858 × 87,858
  4. Step 4: Simplify right side
    40,203x = 7,719,028,164
  5. Step 5: Solve for x
    x = 7,719,028,164/40,203
  6. Step 6: Final answer
    x = 192,001.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.