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Finding the Third Proportional to 105,999.75 and 151,731.38

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Solution

The third proportional to 105,999.75 and 151,731.38 is: 217,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.75 : 151,731.38 = 151,731.38 : x
  2. Step 2: Convert to fraction form
    105,999.75/151,731.38 = 151,731.38/x
  3. Step 3: Cross multiply
    105,999.75x = 151,731.38 × 151,731.38
  4. Step 4: Simplify right side
    105,999.75x = 23,022,410,159.39
  5. Step 5: Solve for x
    x = 23,022,410,159.39/105,999.75
  6. Step 6: Final answer
    x = 217,193.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.