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Finding the Third Proportional to 55,314.75 and 82,287.75

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Solution

The third proportional to 55,314.75 and 82,287.75 is: 122,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314.75 : 82,287.75 = 82,287.75 : x
  2. Step 2: Convert to fraction form
    55,314.75/82,287.75 = 82,287.75/x
  3. Step 3: Cross multiply
    55,314.75x = 82,287.75 × 82,287.75
  4. Step 4: Simplify right side
    55,314.75x = 6,771,273,800.06
  5. Step 5: Solve for x
    x = 6,771,273,800.06/55,314.75
  6. Step 6: Final answer
    x = 122,413.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.