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Finding the Third Proportional to 67,880 and 141,942

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Solution

The third proportional to 67,880 and 141,942 is: 296,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,880 : 141,942 = 141,942 : x
  2. Step 2: Convert to fraction form
    67,880/141,942 = 141,942/x
  3. Step 3: Cross multiply
    67,880x = 141,942 × 141,942
  4. Step 4: Simplify right side
    67,880x = 20,147,531,364
  5. Step 5: Solve for x
    x = 20,147,531,364/67,880
  6. Step 6: Final answer
    x = 296,811.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.