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Finding the Third Proportional to 68,265 and 141,981

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Solution

The third proportional to 68,265 and 141,981 is: 295,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,265 : 141,981 = 141,981 : x
  2. Step 2: Convert to fraction form
    68,265/141,981 = 141,981/x
  3. Step 3: Cross multiply
    68,265x = 141,981 × 141,981
  4. Step 4: Simplify right side
    68,265x = 20,158,604,361
  5. Step 5: Solve for x
    x = 20,158,604,361/68,265
  6. Step 6: Final answer
    x = 295,299.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.