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Finding the Third Proportional to 110,713.50 and 171,902.25

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Solution

The third proportional to 110,713.50 and 171,902.25 is: 266,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,713.50 : 171,902.25 = 171,902.25 : x
  2. Step 2: Convert to fraction form
    110,713.50/171,902.25 = 171,902.25/x
  3. Step 3: Cross multiply
    110,713.50x = 171,902.25 × 171,902.25
  4. Step 4: Simplify right side
    110,713.50x = 29,550,383,555.06
  5. Step 5: Solve for x
    x = 29,550,383,555.06/110,713.50
  6. Step 6: Final answer
    x = 266,908.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.