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Finding the Third Proportional to 67,494 and 146,640

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Solution

The third proportional to 67,494 and 146,640 is: 318,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,494 : 146,640 = 146,640 : x
  2. Step 2: Convert to fraction form
    67,494/146,640 = 146,640/x
  3. Step 3: Cross multiply
    67,494x = 146,640 × 146,640
  4. Step 4: Simplify right side
    67,494x = 21,503,289,600
  5. Step 5: Solve for x
    x = 21,503,289,600/67,494
  6. Step 6: Final answer
    x = 318,595.57

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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.