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Finding the Third Proportional to 67,423 and 147,805

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Solution

The third proportional to 67,423 and 147,805 is: 324,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,423 : 147,805 = 147,805 : x
  2. Step 2: Convert to fraction form
    67,423/147,805 = 147,805/x
  3. Step 3: Cross multiply
    67,423x = 147,805 × 147,805
  4. Step 4: Simplify right side
    67,423x = 21,846,318,025
  5. Step 5: Solve for x
    x = 21,846,318,025/67,423
  6. Step 6: Final answer
    x = 324,018.78

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Why These Related Problems?

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