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Finding the Third Proportional to 42,956 and 68,338

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Solution

The third proportional to 42,956 and 68,338 is: 108,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,956 : 68,338 = 68,338 : x
  2. Step 2: Convert to fraction form
    42,956/68,338 = 68,338/x
  3. Step 3: Cross multiply
    42,956x = 68,338 × 68,338
  4. Step 4: Simplify right side
    42,956x = 4,670,082,244
  5. Step 5: Solve for x
    x = 4,670,082,244/42,956
  6. Step 6: Final answer
    x = 108,717.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.