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Finding the Third Proportional to 79,388 and 107,822

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Solution

The third proportional to 79,388 and 107,822 is: 146,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,388 : 107,822 = 107,822 : x
  2. Step 2: Convert to fraction form
    79,388/107,822 = 107,822/x
  3. Step 3: Cross multiply
    79,388x = 107,822 × 107,822
  4. Step 4: Simplify right side
    79,388x = 11,625,583,684
  5. Step 5: Solve for x
    x = 11,625,583,684/79,388
  6. Step 6: Final answer
    x = 146,440.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.