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Finding the Third Proportional to 66,944 and 144,907

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Solution

The third proportional to 66,944 and 144,907 is: 313,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,944 : 144,907 = 144,907 : x
  2. Step 2: Convert to fraction form
    66,944/144,907 = 144,907/x
  3. Step 3: Cross multiply
    66,944x = 144,907 × 144,907
  4. Step 4: Simplify right side
    66,944x = 20,998,038,649
  5. Step 5: Solve for x
    x = 20,998,038,649/66,944
  6. Step 6: Final answer
    x = 313,665.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.