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Finding the Third Proportional to 32,992 and 72,236

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Solution

The third proportional to 32,992 and 72,236 is: 158,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992 : 72,236 = 72,236 : x
  2. Step 2: Convert to fraction form
    32,992/72,236 = 72,236/x
  3. Step 3: Cross multiply
    32,992x = 72,236 × 72,236
  4. Step 4: Simplify right side
    32,992x = 5,218,039,696
  5. Step 5: Solve for x
    x = 5,218,039,696/32,992
  6. Step 6: Final answer
    x = 158,160.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.