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Finding the Third Proportional to 71,998 and 101,344

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Solution

The third proportional to 71,998 and 101,344 is: 142,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,998 : 101,344 = 101,344 : x
  2. Step 2: Convert to fraction form
    71,998/101,344 = 101,344/x
  3. Step 3: Cross multiply
    71,998x = 101,344 × 101,344
  4. Step 4: Simplify right side
    71,998x = 10,270,606,336
  5. Step 5: Solve for x
    x = 10,270,606,336/71,998
  6. Step 6: Final answer
    x = 142,651.27

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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.