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Finding the Third Proportional to 67,016 and 139,544

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Solution

The third proportional to 67,016 and 139,544 is: 290,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,016 : 139,544 = 139,544 : x
  2. Step 2: Convert to fraction form
    67,016/139,544 = 139,544/x
  3. Step 3: Cross multiply
    67,016x = 139,544 × 139,544
  4. Step 4: Simplify right side
    67,016x = 19,472,527,936
  5. Step 5: Solve for x
    x = 19,472,527,936/67,016
  6. Step 6: Final answer
    x = 290,565.36

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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.