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Finding the Third Proportional to 32,144 and 69,226

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Solution

The third proportional to 32,144 and 69,226 is: 149,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144 : 69,226 = 69,226 : x
  2. Step 2: Convert to fraction form
    32,144/69,226 = 69,226/x
  3. Step 3: Cross multiply
    32,144x = 69,226 × 69,226
  4. Step 4: Simplify right side
    32,144x = 4,792,239,076
  5. Step 5: Solve for x
    x = 4,792,239,076/32,144
  6. Step 6: Final answer
    x = 149,086.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.