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Finding the Third Proportional to 73,890.75 and 160,129.50

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Solution

The third proportional to 73,890.75 and 160,129.50 is: 347,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,890.75 : 160,129.50 = 160,129.50 : x
  2. Step 2: Convert to fraction form
    73,890.75/160,129.50 = 160,129.50/x
  3. Step 3: Cross multiply
    73,890.75x = 160,129.50 × 160,129.50
  4. Step 4: Simplify right side
    73,890.75x = 25,641,456,770.25
  5. Step 5: Solve for x
    x = 25,641,456,770.25/73,890.75
  6. Step 6: Final answer
    x = 347,018.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.