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Finding the Third Proportional to 67,317 and 141,598

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Solution

The third proportional to 67,317 and 141,598 is: 297,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,317 : 141,598 = 141,598 : x
  2. Step 2: Convert to fraction form
    67,317/141,598 = 141,598/x
  3. Step 3: Cross multiply
    67,317x = 141,598 × 141,598
  4. Step 4: Simplify right side
    67,317x = 20,049,993,604
  5. Step 5: Solve for x
    x = 20,049,993,604/67,317
  6. Step 6: Final answer
    x = 297,844.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.