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Finding the Third Proportional to 122,817.94 and 195,298.59

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Solution

The third proportional to 122,817.94 and 195,298.59 is: 310,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,817.94 : 195,298.59 = 195,298.59 : x
  2. Step 2: Convert to fraction form
    122,817.94/195,298.59 = 195,298.59/x
  3. Step 3: Cross multiply
    122,817.94x = 195,298.59 × 195,298.59
  4. Step 4: Simplify right side
    122,817.94x = 38,141,540,720.73
  5. Step 5: Solve for x
    x = 38,141,540,720.73/122,817.94
  6. Step 6: Final answer
    x = 310,553.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.