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Finding the Third Proportional to 73,885.50 and 159,435

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Solution

The third proportional to 73,885.50 and 159,435 is: 344,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,885.50 : 159,435 = 159,435 : x
  2. Step 2: Convert to fraction form
    73,885.50/159,435 = 159,435/x
  3. Step 3: Cross multiply
    73,885.50x = 159,435 × 159,435
  4. Step 4: Simplify right side
    73,885.50x = 25,419,519,225
  5. Step 5: Solve for x
    x = 25,419,519,225/73,885.50
  6. Step 6: Final answer
    x = 344,039.35

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Why These Related Problems?

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