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Finding the Third Proportional to 55,593.75 and 83,237.25

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Solution

The third proportional to 55,593.75 and 83,237.25 is: 124,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,593.75 : 83,237.25 = 83,237.25 : x
  2. Step 2: Convert to fraction form
    55,593.75/83,237.25 = 83,237.25/x
  3. Step 3: Cross multiply
    55,593.75x = 83,237.25 × 83,237.25
  4. Step 4: Simplify right side
    55,593.75x = 6,928,439,787.56
  5. Step 5: Solve for x
    x = 6,928,439,787.56/55,593.75
  6. Step 6: Final answer
    x = 124,626.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.