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Finding the Third Proportional to 32,772 and 71,092

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Solution

The third proportional to 32,772 and 71,092 is: 154,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 71,092 = 71,092 : x
  2. Step 2: Convert to fraction form
    32,772/71,092 = 71,092/x
  3. Step 3: Cross multiply
    32,772x = 71,092 × 71,092
  4. Step 4: Simplify right side
    32,772x = 5,054,072,464
  5. Step 5: Solve for x
    x = 5,054,072,464/32,772
  6. Step 6: Final answer
    x = 154,219.23

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