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Finding the Third Proportional to 126,612.94 and 193,134.94

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Solution

The third proportional to 126,612.94 and 193,134.94 is: 294,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,612.94 : 193,134.94 = 193,134.94 : x
  2. Step 2: Convert to fraction form
    126,612.94/193,134.94 = 193,134.94/x
  3. Step 3: Cross multiply
    126,612.94x = 193,134.94 × 193,134.94
  4. Step 4: Simplify right side
    126,612.94x = 37,301,104,083.13
  5. Step 5: Solve for x
    x = 37,301,104,083.13/126,612.94
  6. Step 6: Final answer
    x = 294,607.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.