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Finding the Third Proportional to 32,164 and 66,753

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Solution

The third proportional to 32,164 and 66,753 is: 138,538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164 : 66,753 = 66,753 : x
  2. Step 2: Convert to fraction form
    32,164/66,753 = 66,753/x
  3. Step 3: Cross multiply
    32,164x = 66,753 × 66,753
  4. Step 4: Simplify right side
    32,164x = 4,455,963,009
  5. Step 5: Solve for x
    x = 4,455,963,009/32,164
  6. Step 6: Final answer
    x = 138,538.83

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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.