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Finding the Third Proportional to 32,193 and 68,733

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Solution

The third proportional to 32,193 and 68,733 is: 146,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193 : 68,733 = 68,733 : x
  2. Step 2: Convert to fraction form
    32,193/68,733 = 68,733/x
  3. Step 3: Cross multiply
    32,193x = 68,733 × 68,733
  4. Step 4: Simplify right side
    32,193x = 4,724,225,289
  5. Step 5: Solve for x
    x = 4,724,225,289/32,193
  6. Step 6: Final answer
    x = 146,746.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.