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Finding the Third Proportional to 106,058 and 149,867

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Solution

The third proportional to 106,058 and 149,867 is: 211,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,058 : 149,867 = 149,867 : x
  2. Step 2: Convert to fraction form
    106,058/149,867 = 149,867/x
  3. Step 3: Cross multiply
    106,058x = 149,867 × 149,867
  4. Step 4: Simplify right side
    106,058x = 22,460,117,689
  5. Step 5: Solve for x
    x = 22,460,117,689/106,058
  6. Step 6: Final answer
    x = 211,772.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.