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Finding the Third Proportional to 32,142 and 66,714

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Solution

The third proportional to 32,142 and 66,714 is: 138,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142 : 66,714 = 66,714 : x
  2. Step 2: Convert to fraction form
    32,142/66,714 = 66,714/x
  3. Step 3: Cross multiply
    32,142x = 66,714 × 66,714
  4. Step 4: Simplify right side
    32,142x = 4,450,757,796
  5. Step 5: Solve for x
    x = 4,450,757,796/32,142
  6. Step 6: Final answer
    x = 138,471.71

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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.