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Finding the Third Proportional to 57,102.75 and 137,400.75

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Solution

The third proportional to 57,102.75 and 137,400.75 is: 330,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.75 : 137,400.75 = 137,400.75 : x
  2. Step 2: Convert to fraction form
    57,102.75/137,400.75 = 137,400.75/x
  3. Step 3: Cross multiply
    57,102.75x = 137,400.75 × 137,400.75
  4. Step 4: Simplify right side
    57,102.75x = 18,878,966,100.56
  5. Step 5: Solve for x
    x = 18,878,966,100.56/57,102.75
  6. Step 6: Final answer
    x = 330,613.96

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.