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Finding the Third Proportional to 32,157 and 69,244

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Solution

The third proportional to 32,157 and 69,244 is: 149,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157 : 69,244 = 69,244 : x
  2. Step 2: Convert to fraction form
    32,157/69,244 = 69,244/x
  3. Step 3: Cross multiply
    32,157x = 69,244 × 69,244
  4. Step 4: Simplify right side
    32,157x = 4,794,731,536
  5. Step 5: Solve for x
    x = 4,794,731,536/32,157
  6. Step 6: Final answer
    x = 149,103.82

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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.