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Finding the Third Proportional to 56,277 and 132,845.06

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Solution

The third proportional to 56,277 and 132,845.06 is: 313,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,277 : 132,845.06 = 132,845.06 : x
  2. Step 2: Convert to fraction form
    56,277/132,845.06 = 132,845.06/x
  3. Step 3: Cross multiply
    56,277x = 132,845.06 × 132,845.06
  4. Step 4: Simplify right side
    56,277x = 17,647,810,630.63
  5. Step 5: Solve for x
    x = 17,647,810,630.63/56,277
  6. Step 6: Final answer
    x = 313,588.33

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.