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Finding the Third Proportional to 32,162 and 66,788

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Solution

The third proportional to 32,162 and 66,788 is: 138,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162 : 66,788 = 66,788 : x
  2. Step 2: Convert to fraction form
    32,162/66,788 = 66,788/x
  3. Step 3: Cross multiply
    32,162x = 66,788 × 66,788
  4. Step 4: Simplify right side
    32,162x = 4,460,636,944
  5. Step 5: Solve for x
    x = 4,460,636,944/32,162
  6. Step 6: Final answer
    x = 138,692.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.