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Finding the Third Proportional to 126,072 and 191,728

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Solution

The third proportional to 126,072 and 191,728 is: 291,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,072 : 191,728 = 191,728 : x
  2. Step 2: Convert to fraction form
    126,072/191,728 = 191,728/x
  3. Step 3: Cross multiply
    126,072x = 191,728 × 191,728
  4. Step 4: Simplify right side
    126,072x = 36,759,625,984
  5. Step 5: Solve for x
    x = 36,759,625,984/126,072
  6. Step 6: Final answer
    x = 291,576.45

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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.