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Finding the Third Proportional to 56,448 and 122,400

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Solution

The third proportional to 56,448 and 122,400 is: 265,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,448 : 122,400 = 122,400 : x
  2. Step 2: Convert to fraction form
    56,448/122,400 = 122,400/x
  3. Step 3: Cross multiply
    56,448x = 122,400 × 122,400
  4. Step 4: Simplify right side
    56,448x = 14,981,760,000
  5. Step 5: Solve for x
    x = 14,981,760,000/56,448
  6. Step 6: Final answer
    x = 265,408.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.