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Finding the Third Proportional to 32,148 and 69,234

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Solution

The third proportional to 32,148 and 69,234 is: 149,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148 : 69,234 = 69,234 : x
  2. Step 2: Convert to fraction form
    32,148/69,234 = 69,234/x
  3. Step 3: Cross multiply
    32,148x = 69,234 × 69,234
  4. Step 4: Simplify right side
    32,148x = 4,793,346,756
  5. Step 5: Solve for x
    x = 4,793,346,756/32,148
  6. Step 6: Final answer
    x = 149,102.49

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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.