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Finding the Third Proportional to 67,057 and 139,623

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Solution

The third proportional to 67,057 and 139,623 is: 290,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057 : 139,623 = 139,623 : x
  2. Step 2: Convert to fraction form
    67,057/139,623 = 139,623/x
  3. Step 3: Cross multiply
    67,057x = 139,623 × 139,623
  4. Step 4: Simplify right side
    67,057x = 19,494,582,129
  5. Step 5: Solve for x
    x = 19,494,582,129/67,057
  6. Step 6: Final answer
    x = 290,716.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.