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Finding the Third Proportional to 60,057 and 139,016

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Solution

The third proportional to 60,057 and 139,016 is: 321,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,057 : 139,016 = 139,016 : x
  2. Step 2: Convert to fraction form
    60,057/139,016 = 139,016/x
  3. Step 3: Cross multiply
    60,057x = 139,016 × 139,016
  4. Step 4: Simplify right side
    60,057x = 19,325,448,256
  5. Step 5: Solve for x
    x = 19,325,448,256/60,057
  6. Step 6: Final answer
    x = 321,785.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.