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Finding the Third Proportional to 69,264 and 149,598

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Solution

The third proportional to 69,264 and 149,598 is: 323,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,264 : 149,598 = 149,598 : x
  2. Step 2: Convert to fraction form
    69,264/149,598 = 149,598/x
  3. Step 3: Cross multiply
    69,264x = 149,598 × 149,598
  4. Step 4: Simplify right side
    69,264x = 22,379,561,604
  5. Step 5: Solve for x
    x = 22,379,561,604/69,264
  6. Step 6: Final answer
    x = 323,105.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.