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Finding the Third Proportional to 71,319.50 and 150,598

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Solution

The third proportional to 71,319.50 and 150,598 is: 318,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,319.50 : 150,598 = 150,598 : x
  2. Step 2: Convert to fraction form
    71,319.50/150,598 = 150,598/x
  3. Step 3: Cross multiply
    71,319.50x = 150,598 × 150,598
  4. Step 4: Simplify right side
    71,319.50x = 22,679,757,604
  5. Step 5: Solve for x
    x = 22,679,757,604/71,319.50
  6. Step 6: Final answer
    x = 318,002.20

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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.