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Finding the Third Proportional to 56,404 and 122,240

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Solution

The third proportional to 56,404 and 122,240 is: 264,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,404 : 122,240 = 122,240 : x
  2. Step 2: Convert to fraction form
    56,404/122,240 = 122,240/x
  3. Step 3: Cross multiply
    56,404x = 122,240 × 122,240
  4. Step 4: Simplify right side
    56,404x = 14,942,617,600
  5. Step 5: Solve for x
    x = 14,942,617,600/56,404
  6. Step 6: Final answer
    x = 264,921.24

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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.