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Finding the Third Proportional to 57,921.75 and 86,375.25

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Solution

The third proportional to 57,921.75 and 86,375.25 is: 128,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,921.75 : 86,375.25 = 86,375.25 : x
  2. Step 2: Convert to fraction form
    57,921.75/86,375.25 = 86,375.25/x
  3. Step 3: Cross multiply
    57,921.75x = 86,375.25 × 86,375.25
  4. Step 4: Simplify right side
    57,921.75x = 7,460,683,812.56
  5. Step 5: Solve for x
    x = 7,460,683,812.56/57,921.75
  6. Step 6: Final answer
    x = 128,806.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.