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Finding the Third Proportional to 131,099 and 199,065

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Solution

The third proportional to 131,099 and 199,065 is: 302,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,099 : 199,065 = 199,065 : x
  2. Step 2: Convert to fraction form
    131,099/199,065 = 199,065/x
  3. Step 3: Cross multiply
    131,099x = 199,065 × 199,065
  4. Step 4: Simplify right side
    131,099x = 39,626,874,225
  5. Step 5: Solve for x
    x = 39,626,874,225/131,099
  6. Step 6: Final answer
    x = 302,266.79

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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.