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Finding the Third Proportional to 73,129.50 and 157,635

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Solution

The third proportional to 73,129.50 and 157,635 is: 339,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.50 : 157,635 = 157,635 : x
  2. Step 2: Convert to fraction form
    73,129.50/157,635 = 157,635/x
  3. Step 3: Cross multiply
    73,129.50x = 157,635 × 157,635
  4. Step 4: Simplify right side
    73,129.50x = 24,848,793,225
  5. Step 5: Solve for x
    x = 24,848,793,225/73,129.50
  6. Step 6: Final answer
    x = 339,791.65

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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.