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Finding the Third Proportional to 64,194 and 134,220

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Solution

The third proportional to 64,194 and 134,220 is: 280,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194 : 134,220 = 134,220 : x
  2. Step 2: Convert to fraction form
    64,194/134,220 = 134,220/x
  3. Step 3: Cross multiply
    64,194x = 134,220 × 134,220
  4. Step 4: Simplify right side
    64,194x = 18,015,008,400
  5. Step 5: Solve for x
    x = 18,015,008,400/64,194
  6. Step 6: Final answer
    x = 280,633.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.