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Finding the Third Proportional to 135,943 and 199,902

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Solution

The third proportional to 135,943 and 199,902 is: 293,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,943 : 199,902 = 199,902 : x
  2. Step 2: Convert to fraction form
    135,943/199,902 = 199,902/x
  3. Step 3: Cross multiply
    135,943x = 199,902 × 199,902
  4. Step 4: Simplify right side
    135,943x = 39,960,809,604
  5. Step 5: Solve for x
    x = 39,960,809,604/135,943
  6. Step 6: Final answer
    x = 293,952.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.