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Finding the Third Proportional to 55,983.50 and 83,940.50

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Solution

The third proportional to 55,983.50 and 83,940.50 is: 125,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983.50 : 83,940.50 = 83,940.50 : x
  2. Step 2: Convert to fraction form
    55,983.50/83,940.50 = 83,940.50/x
  3. Step 3: Cross multiply
    55,983.50x = 83,940.50 × 83,940.50
  4. Step 4: Simplify right side
    55,983.50x = 7,046,007,540.25
  5. Step 5: Solve for x
    x = 7,046,007,540.25/55,983.50
  6. Step 6: Final answer
    x = 125,858.65

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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.