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Finding the Third Proportional to 56,136.75 and 120,054

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Solution

The third proportional to 56,136.75 and 120,054 is: 256,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,136.75 : 120,054 = 120,054 : x
  2. Step 2: Convert to fraction form
    56,136.75/120,054 = 120,054/x
  3. Step 3: Cross multiply
    56,136.75x = 120,054 × 120,054
  4. Step 4: Simplify right side
    56,136.75x = 14,412,962,916
  5. Step 5: Solve for x
    x = 14,412,962,916/56,136.75
  6. Step 6: Final answer
    x = 256,747.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.