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Finding the Third Proportional to 62,103.75 and 83,142.75

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Solution

The third proportional to 62,103.75 and 83,142.75 is: 111,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,103.75 : 83,142.75 = 83,142.75 : x
  2. Step 2: Convert to fraction form
    62,103.75/83,142.75 = 83,142.75/x
  3. Step 3: Cross multiply
    62,103.75x = 83,142.75 × 83,142.75
  4. Step 4: Simplify right side
    62,103.75x = 6,912,716,877.56
  5. Step 5: Solve for x
    x = 6,912,716,877.56/62,103.75
  6. Step 6: Final answer
    x = 111,309.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.