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Finding the Third Proportional to 135,799 and 199,537

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Solution

The third proportional to 135,799 and 199,537 is: 293,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,799 : 199,537 = 199,537 : x
  2. Step 2: Convert to fraction form
    135,799/199,537 = 199,537/x
  3. Step 3: Cross multiply
    135,799x = 199,537 × 199,537
  4. Step 4: Simplify right side
    135,799x = 39,815,014,369
  5. Step 5: Solve for x
    x = 39,815,014,369/135,799
  6. Step 6: Final answer
    x = 293,190.78

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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.