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Finding the Third Proportional to 122,190.19 and 191,539.69

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Solution

The third proportional to 122,190.19 and 191,539.69 is: 300,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,190.19 : 191,539.69 = 191,539.69 : x
  2. Step 2: Convert to fraction form
    122,190.19/191,539.69 = 191,539.69/x
  3. Step 3: Cross multiply
    122,190.19x = 191,539.69 × 191,539.69
  4. Step 4: Simplify right side
    122,190.19x = 36,687,451,887.60
  5. Step 5: Solve for x
    x = 36,687,451,887.60/122,190.19
  6. Step 6: Final answer
    x = 300,248.76

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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.