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Finding the Third Proportional to 73,667.81 and 159,073.88

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Solution

The third proportional to 73,667.81 and 159,073.88 is: 343,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,667.81 : 159,073.88 = 159,073.88 : x
  2. Step 2: Convert to fraction form
    73,667.81/159,073.88 = 159,073.88/x
  3. Step 3: Cross multiply
    73,667.81x = 159,073.88 × 159,073.88
  4. Step 4: Simplify right side
    73,667.81x = 25,304,497,707.52
  5. Step 5: Solve for x
    x = 25,304,497,707.52/73,667.81
  6. Step 6: Final answer
    x = 343,494.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.