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Finding the Third Proportional to 67,381.88 and 105,694.88

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Solution

The third proportional to 67,381.88 and 105,694.88 is: 165,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,381.88 : 105,694.88 = 105,694.88 : x
  2. Step 2: Convert to fraction form
    67,381.88/105,694.88 = 105,694.88/x
  3. Step 3: Cross multiply
    67,381.88x = 105,694.88 × 105,694.88
  4. Step 4: Simplify right side
    67,381.88x = 11,171,406,601.27
  5. Step 5: Solve for x
    x = 11,171,406,601.27/67,381.88
  6. Step 6: Final answer
    x = 165,792.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.