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Finding the Third Proportional to 101,162 and 145,727

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Solution

The third proportional to 101,162 and 145,727 is: 209,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,162 : 145,727 = 145,727 : x
  2. Step 2: Convert to fraction form
    101,162/145,727 = 145,727/x
  3. Step 3: Cross multiply
    101,162x = 145,727 × 145,727
  4. Step 4: Simplify right side
    101,162x = 21,236,358,529
  5. Step 5: Solve for x
    x = 21,236,358,529/101,162
  6. Step 6: Final answer
    x = 209,924.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.