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Finding the Third Proportional to 101,189 and 148,505

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Solution

The third proportional to 101,189 and 148,505 is: 217,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,189 : 148,505 = 148,505 : x
  2. Step 2: Convert to fraction form
    101,189/148,505 = 148,505/x
  3. Step 3: Cross multiply
    101,189x = 148,505 × 148,505
  4. Step 4: Simplify right side
    101,189x = 22,053,735,025
  5. Step 5: Solve for x
    x = 22,053,735,025/101,189
  6. Step 6: Final answer
    x = 217,945.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.