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Finding the Third Proportional to 32,559 and 67,065

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Solution

The third proportional to 32,559 and 67,065 is: 138,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559 : 67,065 = 67,065 : x
  2. Step 2: Convert to fraction form
    32,559/67,065 = 67,065/x
  3. Step 3: Cross multiply
    32,559x = 67,065 × 67,065
  4. Step 4: Simplify right side
    32,559x = 4,497,714,225
  5. Step 5: Solve for x
    x = 4,497,714,225/32,559
  6. Step 6: Final answer
    x = 138,140.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.