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Finding the Third Proportional to 135,790 and 199,525

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Solution

The third proportional to 135,790 and 199,525 is: 293,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,790 : 199,525 = 199,525 : x
  2. Step 2: Convert to fraction form
    135,790/199,525 = 199,525/x
  3. Step 3: Cross multiply
    135,790x = 199,525 × 199,525
  4. Step 4: Simplify right side
    135,790x = 39,810,225,625
  5. Step 5: Solve for x
    x = 39,810,225,625/135,790
  6. Step 6: Final answer
    x = 293,174.94

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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.