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Finding the Third Proportional to 115,190 and 171,896

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Solution

The third proportional to 115,190 and 171,896 is: 256,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,190 : 171,896 = 171,896 : x
  2. Step 2: Convert to fraction form
    115,190/171,896 = 171,896/x
  3. Step 3: Cross multiply
    115,190x = 171,896 × 171,896
  4. Step 4: Simplify right side
    115,190x = 29,548,234,816
  5. Step 5: Solve for x
    x = 29,548,234,816/115,190
  6. Step 6: Final answer
    x = 256,517.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.