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Finding the Third Proportional to 69,261.75 and 149,600.25

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Solution

The third proportional to 69,261.75 and 149,600.25 is: 323,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,261.75 : 149,600.25 = 149,600.25 : x
  2. Step 2: Convert to fraction form
    69,261.75/149,600.25 = 149,600.25/x
  3. Step 3: Cross multiply
    69,261.75x = 149,600.25 × 149,600.25
  4. Step 4: Simplify right side
    69,261.75x = 22,380,234,800.06
  5. Step 5: Solve for x
    x = 22,380,234,800.06/69,261.75
  6. Step 6: Final answer
    x = 323,125.46

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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.