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Finding the Third Proportional to 124,959 and 199,857

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Solution

The third proportional to 124,959 and 199,857 is: 319,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,959 : 199,857 = 199,857 : x
  2. Step 2: Convert to fraction form
    124,959/199,857 = 199,857/x
  3. Step 3: Cross multiply
    124,959x = 199,857 × 199,857
  4. Step 4: Simplify right side
    124,959x = 39,942,820,449
  5. Step 5: Solve for x
    x = 39,942,820,449/124,959
  6. Step 6: Final answer
    x = 319,647.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.