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Finding the Third Proportional to 122,237.25 and 194,493.75

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Solution

The third proportional to 122,237.25 and 194,493.75 is: 309,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,237.25 : 194,493.75 = 194,493.75 : x
  2. Step 2: Convert to fraction form
    122,237.25/194,493.75 = 194,493.75/x
  3. Step 3: Cross multiply
    122,237.25x = 194,493.75 × 194,493.75
  4. Step 4: Simplify right side
    122,237.25x = 37,827,818,789.06
  5. Step 5: Solve for x
    x = 37,827,818,789.06/122,237.25
  6. Step 6: Final answer
    x = 309,462.29

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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.