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Finding the Third Proportional to 67,074 and 139,668

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Solution

The third proportional to 67,074 and 139,668 is: 290,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,074 : 139,668 = 139,668 : x
  2. Step 2: Convert to fraction form
    67,074/139,668 = 139,668/x
  3. Step 3: Cross multiply
    67,074x = 139,668 × 139,668
  4. Step 4: Simplify right side
    67,074x = 19,507,150,224
  5. Step 5: Solve for x
    x = 19,507,150,224/67,074
  6. Step 6: Final answer
    x = 290,830.28

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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.