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Finding the Third Proportional to 91,728 and 187,344

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Solution

The third proportional to 91,728 and 187,344 is: 382,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 187,344 = 187,344 : x
  2. Step 2: Convert to fraction form
    91,728/187,344 = 187,344/x
  3. Step 3: Cross multiply
    91,728x = 187,344 × 187,344
  4. Step 4: Simplify right side
    91,728x = 35,097,774,336
  5. Step 5: Solve for x
    x = 35,097,774,336/91,728
  6. Step 6: Final answer
    x = 382,628.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.