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Finding the Third Proportional to 75,319.50 and 160,647

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Solution

The third proportional to 75,319.50 and 160,647 is: 342,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,319.50 : 160,647 = 160,647 : x
  2. Step 2: Convert to fraction form
    75,319.50/160,647 = 160,647/x
  3. Step 3: Cross multiply
    75,319.50x = 160,647 × 160,647
  4. Step 4: Simplify right side
    75,319.50x = 25,807,458,609
  5. Step 5: Solve for x
    x = 25,807,458,609/75,319.50
  6. Step 6: Final answer
    x = 342,639.80

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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.