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Finding the Third Proportional to 48,336 and 68,069

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Solution

The third proportional to 48,336 and 68,069 is: 95,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,336 : 68,069 = 68,069 : x
  2. Step 2: Convert to fraction form
    48,336/68,069 = 68,069/x
  3. Step 3: Cross multiply
    48,336x = 68,069 × 68,069
  4. Step 4: Simplify right side
    48,336x = 4,633,388,761
  5. Step 5: Solve for x
    x = 4,633,388,761/48,336
  6. Step 6: Final answer
    x = 95,857.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.