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Finding the Third Proportional to 135,728 and 187,548

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Solution

The third proportional to 135,728 and 187,548 is: 259,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,728 : 187,548 = 187,548 : x
  2. Step 2: Convert to fraction form
    135,728/187,548 = 187,548/x
  3. Step 3: Cross multiply
    135,728x = 187,548 × 187,548
  4. Step 4: Simplify right side
    135,728x = 35,174,252,304
  5. Step 5: Solve for x
    x = 35,174,252,304/135,728
  6. Step 6: Final answer
    x = 259,152.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.