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Finding the Third Proportional to 122,016 and 191,220

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Solution

The third proportional to 122,016 and 191,220 is: 299,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016 : 191,220 = 191,220 : x
  2. Step 2: Convert to fraction form
    122,016/191,220 = 191,220/x
  3. Step 3: Cross multiply
    122,016x = 191,220 × 191,220
  4. Step 4: Simplify right side
    122,016x = 36,565,088,400
  5. Step 5: Solve for x
    x = 36,565,088,400/122,016
  6. Step 6: Final answer
    x = 299,674.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.