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Finding the Third Proportional to 36,232 and 76,394

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Solution

The third proportional to 36,232 and 76,394 is: 161,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232 : 76,394 = 76,394 : x
  2. Step 2: Convert to fraction form
    36,232/76,394 = 76,394/x
  3. Step 3: Cross multiply
    36,232x = 76,394 × 76,394
  4. Step 4: Simplify right side
    36,232x = 5,836,043,236
  5. Step 5: Solve for x
    x = 5,836,043,236/36,232
  6. Step 6: Final answer
    x = 161,074.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.