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Finding the Third Proportional to 36,192 and 74,712

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Solution

The third proportional to 36,192 and 74,712 is: 154,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,192 : 74,712 = 74,712 : x
  2. Step 2: Convert to fraction form
    36,192/74,712 = 74,712/x
  3. Step 3: Cross multiply
    36,192x = 74,712 × 74,712
  4. Step 4: Simplify right side
    36,192x = 5,581,882,944
  5. Step 5: Solve for x
    x = 5,581,882,944/36,192
  6. Step 6: Final answer
    x = 154,229.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.