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Finding the Third Proportional to 101,138 and 158,635

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Solution

The third proportional to 101,138 and 158,635 is: 248,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138 : 158,635 = 158,635 : x
  2. Step 2: Convert to fraction form
    101,138/158,635 = 158,635/x
  3. Step 3: Cross multiply
    101,138x = 158,635 × 158,635
  4. Step 4: Simplify right side
    101,138x = 25,165,063,225
  5. Step 5: Solve for x
    x = 25,165,063,225/101,138
  6. Step 6: Final answer
    x = 248,819.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.