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Finding the Third Proportional to 67,224 and 139,980

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Solution

The third proportional to 67,224 and 139,980 is: 291,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,224 : 139,980 = 139,980 : x
  2. Step 2: Convert to fraction form
    67,224/139,980 = 139,980/x
  3. Step 3: Cross multiply
    67,224x = 139,980 × 139,980
  4. Step 4: Simplify right side
    67,224x = 19,594,400,400
  5. Step 5: Solve for x
    x = 19,594,400,400/67,224
  6. Step 6: Final answer
    x = 291,479.24

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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.