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Finding the Third Proportional to 101,994.75 and 153,081

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Solution

The third proportional to 101,994.75 and 153,081 is: 229,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,994.75 : 153,081 = 153,081 : x
  2. Step 2: Convert to fraction form
    101,994.75/153,081 = 153,081/x
  3. Step 3: Cross multiply
    101,994.75x = 153,081 × 153,081
  4. Step 4: Simplify right side
    101,994.75x = 23,433,792,561
  5. Step 5: Solve for x
    x = 23,433,792,561/101,994.75
  6. Step 6: Final answer
    x = 229,754.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.