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Finding the Third Proportional to 67,848 and 146,990

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Solution

The third proportional to 67,848 and 146,990 is: 318,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,848 : 146,990 = 146,990 : x
  2. Step 2: Convert to fraction form
    67,848/146,990 = 146,990/x
  3. Step 3: Cross multiply
    67,848x = 146,990 × 146,990
  4. Step 4: Simplify right side
    67,848x = 21,606,060,100
  5. Step 5: Solve for x
    x = 21,606,060,100/67,848
  6. Step 6: Final answer
    x = 318,448.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.