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Finding the Third Proportional to 56,144.25 and 122,838.75

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Solution

The third proportional to 56,144.25 and 122,838.75 is: 268,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144.25 : 122,838.75 = 122,838.75 : x
  2. Step 2: Convert to fraction form
    56,144.25/122,838.75 = 122,838.75/x
  3. Step 3: Cross multiply
    56,144.25x = 122,838.75 × 122,838.75
  4. Step 4: Simplify right side
    56,144.25x = 15,089,358,501.56
  5. Step 5: Solve for x
    x = 15,089,358,501.56/56,144.25
  6. Step 6: Final answer
    x = 268,760.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.