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Finding the Third Proportional to 67,995 and 146,907

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Solution

The third proportional to 67,995 and 146,907 is: 317,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,995 : 146,907 = 146,907 : x
  2. Step 2: Convert to fraction form
    67,995/146,907 = 146,907/x
  3. Step 3: Cross multiply
    67,995x = 146,907 × 146,907
  4. Step 4: Simplify right side
    67,995x = 21,581,666,649
  5. Step 5: Solve for x
    x = 21,581,666,649/67,995
  6. Step 6: Final answer
    x = 317,400.79

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