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Finding the Third Proportional to 68,876 and 104,354

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Solution

The third proportional to 68,876 and 104,354 is: 158,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,876 : 104,354 = 104,354 : x
  2. Step 2: Convert to fraction form
    68,876/104,354 = 104,354/x
  3. Step 3: Cross multiply
    68,876x = 104,354 × 104,354
  4. Step 4: Simplify right side
    68,876x = 10,889,757,316
  5. Step 5: Solve for x
    x = 10,889,757,316/68,876
  6. Step 6: Final answer
    x = 158,106.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.