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Finding the Third Proportional to 71,098.50 and 150,945

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Solution

The third proportional to 71,098.50 and 150,945 is: 320,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098.50 : 150,945 = 150,945 : x
  2. Step 2: Convert to fraction form
    71,098.50/150,945 = 150,945/x
  3. Step 3: Cross multiply
    71,098.50x = 150,945 × 150,945
  4. Step 4: Simplify right side
    71,098.50x = 22,784,393,025
  5. Step 5: Solve for x
    x = 22,784,393,025/71,098.50
  6. Step 6: Final answer
    x = 320,462.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.