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Finding the Third Proportional to 40,241 and 87,203

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Solution

The third proportional to 40,241 and 87,203 is: 188,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,241 : 87,203 = 87,203 : x
  2. Step 2: Convert to fraction form
    40,241/87,203 = 87,203/x
  3. Step 3: Cross multiply
    40,241x = 87,203 × 87,203
  4. Step 4: Simplify right side
    40,241x = 7,604,363,209
  5. Step 5: Solve for x
    x = 7,604,363,209/40,241
  6. Step 6: Final answer
    x = 188,970.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.