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Finding the Third Proportional to 67,313 and 141,727

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Solution

The third proportional to 67,313 and 141,727 is: 298,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,313 : 141,727 = 141,727 : x
  2. Step 2: Convert to fraction form
    67,313/141,727 = 141,727/x
  3. Step 3: Cross multiply
    67,313x = 141,727 × 141,727
  4. Step 4: Simplify right side
    67,313x = 20,086,542,529
  5. Step 5: Solve for x
    x = 20,086,542,529/67,313
  6. Step 6: Final answer
    x = 298,405.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.