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Finding the Third Proportional to 101,790 and 140,653

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Solution

The third proportional to 101,790 and 140,653 is: 194,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,790 : 140,653 = 140,653 : x
  2. Step 2: Convert to fraction form
    101,790/140,653 = 140,653/x
  3. Step 3: Cross multiply
    101,790x = 140,653 × 140,653
  4. Step 4: Simplify right side
    101,790x = 19,783,266,409
  5. Step 5: Solve for x
    x = 19,783,266,409/101,790
  6. Step 6: Final answer
    x = 194,353.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.