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Finding the Third Proportional to 74,089.50 and 159,435

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Solution

The third proportional to 74,089.50 and 159,435 is: 343,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,089.50 : 159,435 = 159,435 : x
  2. Step 2: Convert to fraction form
    74,089.50/159,435 = 159,435/x
  3. Step 3: Cross multiply
    74,089.50x = 159,435 × 159,435
  4. Step 4: Simplify right side
    74,089.50x = 25,419,519,225
  5. Step 5: Solve for x
    x = 25,419,519,225/74,089.50
  6. Step 6: Final answer
    x = 343,092.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.