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Finding the Third Proportional to 69,054 and 149,628

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Solution

The third proportional to 69,054 and 149,628 is: 324,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,054 : 149,628 = 149,628 : x
  2. Step 2: Convert to fraction form
    69,054/149,628 = 149,628/x
  3. Step 3: Cross multiply
    69,054x = 149,628 × 149,628
  4. Step 4: Simplify right side
    69,054x = 22,388,538,384
  5. Step 5: Solve for x
    x = 22,388,538,384/69,054
  6. Step 6: Final answer
    x = 324,217.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.