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Finding the Third Proportional to 71,155.50 and 150,147

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Solution

The third proportional to 71,155.50 and 150,147 is: 316,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,155.50 : 150,147 = 150,147 : x
  2. Step 2: Convert to fraction form
    71,155.50/150,147 = 150,147/x
  3. Step 3: Cross multiply
    71,155.50x = 150,147 × 150,147
  4. Step 4: Simplify right side
    71,155.50x = 22,544,121,609
  5. Step 5: Solve for x
    x = 22,544,121,609/71,155.50
  6. Step 6: Final answer
    x = 316,828.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.