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Finding the Third Proportional to 32,242 and 68,399

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Solution

The third proportional to 32,242 and 68,399 is: 145,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242 : 68,399 = 68,399 : x
  2. Step 2: Convert to fraction form
    32,242/68,399 = 68,399/x
  3. Step 3: Cross multiply
    32,242x = 68,399 × 68,399
  4. Step 4: Simplify right side
    32,242x = 4,678,423,201
  5. Step 5: Solve for x
    x = 4,678,423,201/32,242
  6. Step 6: Final answer
    x = 145,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.