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Finding the Third Proportional to 71,941 and 158,159

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Solution

The third proportional to 71,941 and 158,159 is: 347,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,941 : 158,159 = 158,159 : x
  2. Step 2: Convert to fraction form
    71,941/158,159 = 158,159/x
  3. Step 3: Cross multiply
    71,941x = 158,159 × 158,159
  4. Step 4: Simplify right side
    71,941x = 25,014,269,281
  5. Step 5: Solve for x
    x = 25,014,269,281/71,941
  6. Step 6: Final answer
    x = 347,705.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.