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Finding the Third Proportional to 55,659 and 131,256

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Solution

The third proportional to 55,659 and 131,256 is: 309,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,659 : 131,256 = 131,256 : x
  2. Step 2: Convert to fraction form
    55,659/131,256 = 131,256/x
  3. Step 3: Cross multiply
    55,659x = 131,256 × 131,256
  4. Step 4: Simplify right side
    55,659x = 17,228,137,536
  5. Step 5: Solve for x
    x = 17,228,137,536/55,659
  6. Step 6: Final answer
    x = 309,530.13

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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.