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Finding the Third Proportional to 55,086.75 and 113,433.75

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Solution

The third proportional to 55,086.75 and 113,433.75 is: 233,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,086.75 : 113,433.75 = 113,433.75 : x
  2. Step 2: Convert to fraction form
    55,086.75/113,433.75 = 113,433.75/x
  3. Step 3: Cross multiply
    55,086.75x = 113,433.75 × 113,433.75
  4. Step 4: Simplify right side
    55,086.75x = 12,867,215,639.06
  5. Step 5: Solve for x
    x = 12,867,215,639.06/55,086.75
  6. Step 6: Final answer
    x = 233,580.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.