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Finding the Third Proportional to 67,493 and 147,699

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Solution

The third proportional to 67,493 and 147,699 is: 323,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,493 : 147,699 = 147,699 : x
  2. Step 2: Convert to fraction form
    67,493/147,699 = 147,699/x
  3. Step 3: Cross multiply
    67,493x = 147,699 × 147,699
  4. Step 4: Simplify right side
    67,493x = 21,814,994,601
  5. Step 5: Solve for x
    x = 21,814,994,601/67,493
  6. Step 6: Final answer
    x = 323,218.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.