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Finding the Third Proportional to 124,999.75 and 193,601.88

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Solution

The third proportional to 124,999.75 and 193,601.88 is: 299,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,999.75 : 193,601.88 = 193,601.88 : x
  2. Step 2: Convert to fraction form
    124,999.75/193,601.88 = 193,601.88/x
  3. Step 3: Cross multiply
    124,999.75x = 193,601.88 × 193,601.88
  4. Step 4: Simplify right side
    124,999.75x = 37,481,686,003.52
  5. Step 5: Solve for x
    x = 37,481,686,003.52/124,999.75
  6. Step 6: Final answer
    x = 299,854.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.