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Finding the Third Proportional to 67,861.13 and 105,669.56

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Solution

The third proportional to 67,861.13 and 105,669.56 is: 164,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,861.13 : 105,669.56 = 105,669.56 : x
  2. Step 2: Convert to fraction form
    67,861.13/105,669.56 = 105,669.56/x
  3. Step 3: Cross multiply
    67,861.13x = 105,669.56 × 105,669.56
  4. Step 4: Simplify right side
    67,861.13x = 11,166,056,438.94
  5. Step 5: Solve for x
    x = 11,166,056,438.94/67,861.13
  6. Step 6: Final answer
    x = 164,542.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.