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Finding the Third Proportional to 105,249.38 and 167,305.50

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Solution

The third proportional to 105,249.38 and 167,305.50 is: 265,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,249.38 : 167,305.50 = 167,305.50 : x
  2. Step 2: Convert to fraction form
    105,249.38/167,305.50 = 167,305.50/x
  3. Step 3: Cross multiply
    105,249.38x = 167,305.50 × 167,305.50
  4. Step 4: Simplify right side
    105,249.38x = 27,991,130,330.25
  5. Step 5: Solve for x
    x = 27,991,130,330.25/105,249.38
  6. Step 6: Final answer
    x = 265,950.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.