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Finding the Third Proportional to 32,634 and 68,079

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Solution

The third proportional to 32,634 and 68,079 is: 142,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,634 : 68,079 = 68,079 : x
  2. Step 2: Convert to fraction form
    32,634/68,079 = 68,079/x
  3. Step 3: Cross multiply
    32,634x = 68,079 × 68,079
  4. Step 4: Simplify right side
    32,634x = 4,634,750,241
  5. Step 5: Solve for x
    x = 4,634,750,241/32,634
  6. Step 6: Final answer
    x = 142,022.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.