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Finding the Third Proportional to 36,232 and 76,404

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Solution

The third proportional to 36,232 and 76,404 is: 161,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232 : 76,404 = 76,404 : x
  2. Step 2: Convert to fraction form
    36,232/76,404 = 76,404/x
  3. Step 3: Cross multiply
    36,232x = 76,404 × 76,404
  4. Step 4: Simplify right side
    36,232x = 5,837,571,216
  5. Step 5: Solve for x
    x = 5,837,571,216/36,232
  6. Step 6: Final answer
    x = 161,116.45

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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.