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Finding the Third Proportional to 101,186 and 145,743

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Solution

The third proportional to 101,186 and 145,743 is: 209,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,186 : 145,743 = 145,743 : x
  2. Step 2: Convert to fraction form
    101,186/145,743 = 145,743/x
  3. Step 3: Cross multiply
    101,186x = 145,743 × 145,743
  4. Step 4: Simplify right side
    101,186x = 21,241,022,049
  5. Step 5: Solve for x
    x = 21,241,022,049/101,186
  6. Step 6: Final answer
    x = 209,920.56

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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.