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Finding the Third Proportional to 69,272.25 and 149,597.25

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Solution

The third proportional to 69,272.25 and 149,597.25 is: 323,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,272.25 : 149,597.25 = 149,597.25 : x
  2. Step 2: Convert to fraction form
    69,272.25/149,597.25 = 149,597.25/x
  3. Step 3: Cross multiply
    69,272.25x = 149,597.25 × 149,597.25
  4. Step 4: Simplify right side
    69,272.25x = 22,379,337,207.56
  5. Step 5: Solve for x
    x = 22,379,337,207.56/69,272.25
  6. Step 6: Final answer
    x = 323,063.52

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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.