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Finding the Third Proportional to 67,942 and 147,530

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Solution

The third proportional to 67,942 and 147,530 is: 320,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,942 : 147,530 = 147,530 : x
  2. Step 2: Convert to fraction form
    67,942/147,530 = 147,530/x
  3. Step 3: Cross multiply
    67,942x = 147,530 × 147,530
  4. Step 4: Simplify right side
    67,942x = 21,765,100,900
  5. Step 5: Solve for x
    x = 21,765,100,900/67,942
  6. Step 6: Final answer
    x = 320,348.25

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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.