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Finding the Third Proportional to 67,558 and 146,655

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Solution

The third proportional to 67,558 and 146,655 is: 318,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,558 : 146,655 = 146,655 : x
  2. Step 2: Convert to fraction form
    67,558/146,655 = 146,655/x
  3. Step 3: Cross multiply
    67,558x = 146,655 × 146,655
  4. Step 4: Simplify right side
    67,558x = 21,507,689,025
  5. Step 5: Solve for x
    x = 21,507,689,025/67,558
  6. Step 6: Final answer
    x = 318,358.88

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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.