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Finding the Third Proportional to 75,007.50 and 160,059

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Solution

The third proportional to 75,007.50 and 160,059 is: 341,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,007.50 : 160,059 = 160,059 : x
  2. Step 2: Convert to fraction form
    75,007.50/160,059 = 160,059/x
  3. Step 3: Cross multiply
    75,007.50x = 160,059 × 160,059
  4. Step 4: Simplify right side
    75,007.50x = 25,618,883,481
  5. Step 5: Solve for x
    x = 25,618,883,481/75,007.50
  6. Step 6: Final answer
    x = 341,550.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.