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Finding the Third Proportional to 32,266 and 67,489

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Solution

The third proportional to 32,266 and 67,489 is: 141,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266 : 67,489 = 67,489 : x
  2. Step 2: Convert to fraction form
    32,266/67,489 = 67,489/x
  3. Step 3: Cross multiply
    32,266x = 67,489 × 67,489
  4. Step 4: Simplify right side
    32,266x = 4,554,765,121
  5. Step 5: Solve for x
    x = 4,554,765,121/32,266
  6. Step 6: Final answer
    x = 141,162.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.