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Finding the Third Proportional to 32,166 and 69,192

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Solution

The third proportional to 32,166 and 69,192 is: 148,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,166 : 69,192 = 69,192 : x
  2. Step 2: Convert to fraction form
    32,166/69,192 = 69,192/x
  3. Step 3: Cross multiply
    32,166x = 69,192 × 69,192
  4. Step 4: Simplify right side
    32,166x = 4,787,532,864
  5. Step 5: Solve for x
    x = 4,787,532,864/32,166
  6. Step 6: Final answer
    x = 148,838.30

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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.