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Finding the Third Proportional to 55,404 and 83,083.50

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Solution

The third proportional to 55,404 and 83,083.50 is: 124,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,404 : 83,083.50 = 83,083.50 : x
  2. Step 2: Convert to fraction form
    55,404/83,083.50 = 83,083.50/x
  3. Step 3: Cross multiply
    55,404x = 83,083.50 × 83,083.50
  4. Step 4: Simplify right side
    55,404x = 6,902,867,972.25
  5. Step 5: Solve for x
    x = 6,902,867,972.25/55,404
  6. Step 6: Final answer
    x = 124,591.51

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