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Finding the Third Proportional to 101,190 and 151,663

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Solution

The third proportional to 101,190 and 151,663 is: 227,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,190 : 151,663 = 151,663 : x
  2. Step 2: Convert to fraction form
    101,190/151,663 = 151,663/x
  3. Step 3: Cross multiply
    101,190x = 151,663 × 151,663
  4. Step 4: Simplify right side
    101,190x = 23,001,665,569
  5. Step 5: Solve for x
    x = 23,001,665,569/101,190
  6. Step 6: Final answer
    x = 227,311.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.