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Finding the Third Proportional to 124,717 and 190,189

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Solution

The third proportional to 124,717 and 190,189 is: 290,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,717 : 190,189 = 190,189 : x
  2. Step 2: Convert to fraction form
    124,717/190,189 = 190,189/x
  3. Step 3: Cross multiply
    124,717x = 190,189 × 190,189
  4. Step 4: Simplify right side
    124,717x = 36,171,855,721
  5. Step 5: Solve for x
    x = 36,171,855,721/124,717
  6. Step 6: Final answer
    x = 290,031.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.