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Finding the Third Proportional to 97,201 and 149,950

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Solution

The third proportional to 97,201 and 149,950 is: 231,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,201 : 149,950 = 149,950 : x
  2. Step 2: Convert to fraction form
    97,201/149,950 = 149,950/x
  3. Step 3: Cross multiply
    97,201x = 149,950 × 149,950
  4. Step 4: Simplify right side
    97,201x = 22,485,002,500
  5. Step 5: Solve for x
    x = 22,485,002,500/97,201
  6. Step 6: Final answer
    x = 231,324.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.