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Finding the Third Proportional to 32,149 and 69,644

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Solution

The third proportional to 32,149 and 69,644 is: 150,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149 : 69,644 = 69,644 : x
  2. Step 2: Convert to fraction form
    32,149/69,644 = 69,644/x
  3. Step 3: Cross multiply
    32,149x = 69,644 × 69,644
  4. Step 4: Simplify right side
    32,149x = 4,850,286,736
  5. Step 5: Solve for x
    x = 4,850,286,736/32,149
  6. Step 6: Final answer
    x = 150,868.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.