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Finding the Third Proportional to 105,999.75 and 151,731

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Solution

The third proportional to 105,999.75 and 151,731 is: 217,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.75 : 151,731 = 151,731 : x
  2. Step 2: Convert to fraction form
    105,999.75/151,731 = 151,731/x
  3. Step 3: Cross multiply
    105,999.75x = 151,731 × 151,731
  4. Step 4: Simplify right side
    105,999.75x = 23,022,296,361
  5. Step 5: Solve for x
    x = 23,022,296,361/105,999.75
  6. Step 6: Final answer
    x = 217,191.99

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Why These Related Problems?

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