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Finding the Third Proportional to 101,601 and 158,217

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Solution

The third proportional to 101,601 and 158,217 is: 246,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,601 : 158,217 = 158,217 : x
  2. Step 2: Convert to fraction form
    101,601/158,217 = 158,217/x
  3. Step 3: Cross multiply
    101,601x = 158,217 × 158,217
  4. Step 4: Simplify right side
    101,601x = 25,032,619,089
  5. Step 5: Solve for x
    x = 25,032,619,089/101,601
  6. Step 6: Final answer
    x = 246,381.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.