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Finding the Third Proportional to 32,619 and 68,738

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Solution

The third proportional to 32,619 and 68,738 is: 144,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,619 : 68,738 = 68,738 : x
  2. Step 2: Convert to fraction form
    32,619/68,738 = 68,738/x
  3. Step 3: Cross multiply
    32,619x = 68,738 × 68,738
  4. Step 4: Simplify right side
    32,619x = 4,724,912,644
  5. Step 5: Solve for x
    x = 4,724,912,644/32,619
  6. Step 6: Final answer
    x = 144,851.55

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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.