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Finding the Third Proportional to 135,792 and 199,530

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Solution

The third proportional to 135,792 and 199,530 is: 293,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,792 : 199,530 = 199,530 : x
  2. Step 2: Convert to fraction form
    135,792/199,530 = 199,530/x
  3. Step 3: Cross multiply
    135,792x = 199,530 × 199,530
  4. Step 4: Simplify right side
    135,792x = 39,812,220,900
  5. Step 5: Solve for x
    x = 39,812,220,900/135,792
  6. Step 6: Final answer
    x = 293,185.32

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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.