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Finding the Third Proportional to 68,538 and 158,654

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Solution

The third proportional to 68,538 and 158,654 is: 367,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538 : 158,654 = 158,654 : x
  2. Step 2: Convert to fraction form
    68,538/158,654 = 158,654/x
  3. Step 3: Cross multiply
    68,538x = 158,654 × 158,654
  4. Step 4: Simplify right side
    68,538x = 25,171,091,716
  5. Step 5: Solve for x
    x = 25,171,091,716/68,538
  6. Step 6: Final answer
    x = 367,257.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.