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Finding the Third Proportional to 135,240.75 and 199,032.75

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Solution

The third proportional to 135,240.75 and 199,032.75 is: 292,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,240.75 : 199,032.75 = 199,032.75 : x
  2. Step 2: Convert to fraction form
    135,240.75/199,032.75 = 199,032.75/x
  3. Step 3: Cross multiply
    135,240.75x = 199,032.75 × 199,032.75
  4. Step 4: Simplify right side
    135,240.75x = 39,614,035,572.56
  5. Step 5: Solve for x
    x = 39,614,035,572.56/135,240.75
  6. Step 6: Final answer
    x = 292,914.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.