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Finding the Third Proportional to 55,717.50 and 117,584.50

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Solution

The third proportional to 55,717.50 and 117,584.50 is: 248,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,717.50 : 117,584.50 = 117,584.50 : x
  2. Step 2: Convert to fraction form
    55,717.50/117,584.50 = 117,584.50/x
  3. Step 3: Cross multiply
    55,717.50x = 117,584.50 × 117,584.50
  4. Step 4: Simplify right side
    55,717.50x = 13,826,114,640.25
  5. Step 5: Solve for x
    x = 13,826,114,640.25/55,717.50
  6. Step 6: Final answer
    x = 248,146.72

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.