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Finding the Third Proportional to 62,083.97 and 83,845.13

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Solution

The third proportional to 62,083.97 and 83,845.13 is: 113,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,083.97 : 83,845.13 = 83,845.13 : x
  2. Step 2: Convert to fraction form
    62,083.97/83,845.13 = 83,845.13/x
  3. Step 3: Cross multiply
    62,083.97x = 83,845.13 × 83,845.13
  4. Step 4: Simplify right side
    62,083.97x = 7,030,004,986.27
  5. Step 5: Solve for x
    x = 7,030,004,986.27/62,083.97
  6. Step 6: Final answer
    x = 113,233.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.