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Finding the Third Proportional to 51,863.75 and 105,631.50

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Solution

The third proportional to 51,863.75 and 105,631.50 is: 215,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.75 : 105,631.50 = 105,631.50 : x
  2. Step 2: Convert to fraction form
    51,863.75/105,631.50 = 105,631.50/x
  3. Step 3: Cross multiply
    51,863.75x = 105,631.50 × 105,631.50
  4. Step 4: Simplify right side
    51,863.75x = 11,158,013,792.25
  5. Step 5: Solve for x
    x = 11,158,013,792.25/51,863.75
  6. Step 6: Final answer
    x = 215,140.90

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.