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Finding the Third Proportional to 71,321.50 and 150,602

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Solution

The third proportional to 71,321.50 and 150,602 is: 318,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,321.50 : 150,602 = 150,602 : x
  2. Step 2: Convert to fraction form
    71,321.50/150,602 = 150,602/x
  3. Step 3: Cross multiply
    71,321.50x = 150,602 × 150,602
  4. Step 4: Simplify right side
    71,321.50x = 22,680,962,404
  5. Step 5: Solve for x
    x = 22,680,962,404/71,321.50
  6. Step 6: Final answer
    x = 318,010.17

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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.