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Finding the Third Proportional to 32,212 and 68,040

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Solution

The third proportional to 32,212 and 68,040 is: 143,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212 : 68,040 = 68,040 : x
  2. Step 2: Convert to fraction form
    32,212/68,040 = 68,040/x
  3. Step 3: Cross multiply
    32,212x = 68,040 × 68,040
  4. Step 4: Simplify right side
    32,212x = 4,629,441,600
  5. Step 5: Solve for x
    x = 4,629,441,600/32,212
  6. Step 6: Final answer
    x = 143,717.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.