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Finding the Third Proportional to 32,242 and 68,102

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Solution

The third proportional to 32,242 and 68,102 is: 143,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242 : 68,102 = 68,102 : x
  2. Step 2: Convert to fraction form
    32,242/68,102 = 68,102/x
  3. Step 3: Cross multiply
    32,242x = 68,102 × 68,102
  4. Step 4: Simplify right side
    32,242x = 4,637,882,404
  5. Step 5: Solve for x
    x = 4,637,882,404/32,242
  6. Step 6: Final answer
    x = 143,845.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.