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Finding the Third Proportional to 104,903 and 158,231

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Solution

The third proportional to 104,903 and 158,231 is: 238,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,903 : 158,231 = 158,231 : x
  2. Step 2: Convert to fraction form
    104,903/158,231 = 158,231/x
  3. Step 3: Cross multiply
    104,903x = 158,231 × 158,231
  4. Step 4: Simplify right side
    104,903x = 25,037,049,361
  5. Step 5: Solve for x
    x = 25,037,049,361/104,903
  6. Step 6: Final answer
    x = 238,668.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.