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Finding the Third Proportional to 68,944 and 143,008

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Solution

The third proportional to 68,944 and 143,008 is: 296,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,944 : 143,008 = 143,008 : x
  2. Step 2: Convert to fraction form
    68,944/143,008 = 143,008/x
  3. Step 3: Cross multiply
    68,944x = 143,008 × 143,008
  4. Step 4: Simplify right side
    68,944x = 20,451,288,064
  5. Step 5: Solve for x
    x = 20,451,288,064/68,944
  6. Step 6: Final answer
    x = 296,636.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.