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Finding the Third Proportional to 73,666.13 and 160,824.75

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Solution

The third proportional to 73,666.13 and 160,824.75 is: 351,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,666.13 : 160,824.75 = 160,824.75 : x
  2. Step 2: Convert to fraction form
    73,666.13/160,824.75 = 160,824.75/x
  3. Step 3: Cross multiply
    73,666.13x = 160,824.75 × 160,824.75
  4. Step 4: Simplify right side
    73,666.13x = 25,864,600,212.56
  5. Step 5: Solve for x
    x = 25,864,600,212.56/73,666.13
  6. Step 6: Final answer
    x = 351,105.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.