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Finding the Third Proportional to 32,954 and 71,092

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Solution

The third proportional to 32,954 and 71,092 is: 153,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954 : 71,092 = 71,092 : x
  2. Step 2: Convert to fraction form
    32,954/71,092 = 71,092/x
  3. Step 3: Cross multiply
    32,954x = 71,092 × 71,092
  4. Step 4: Simplify right side
    32,954x = 5,054,072,464
  5. Step 5: Solve for x
    x = 5,054,072,464/32,954
  6. Step 6: Final answer
    x = 153,367.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.