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Finding the Third Proportional to 67,523 and 150,598

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Solution

The third proportional to 67,523 and 150,598 is: 335,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,523 : 150,598 = 150,598 : x
  2. Step 2: Convert to fraction form
    67,523/150,598 = 150,598/x
  3. Step 3: Cross multiply
    67,523x = 150,598 × 150,598
  4. Step 4: Simplify right side
    67,523x = 22,679,757,604
  5. Step 5: Solve for x
    x = 22,679,757,604/67,523
  6. Step 6: Final answer
    x = 335,881.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.