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Finding the Third Proportional to 32,954 and 72,460

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Solution

The third proportional to 32,954 and 72,460 is: 159,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954 : 72,460 = 72,460 : x
  2. Step 2: Convert to fraction form
    32,954/72,460 = 72,460/x
  3. Step 3: Cross multiply
    32,954x = 72,460 × 72,460
  4. Step 4: Simplify right side
    32,954x = 5,250,451,600
  5. Step 5: Solve for x
    x = 5,250,451,600/32,954
  6. Step 6: Final answer
    x = 159,326.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.