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Finding the Third Proportional to 56,226 and 122,247

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Solution

The third proportional to 56,226 and 122,247 is: 265,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,226 : 122,247 = 122,247 : x
  2. Step 2: Convert to fraction form
    56,226/122,247 = 122,247/x
  3. Step 3: Cross multiply
    56,226x = 122,247 × 122,247
  4. Step 4: Simplify right side
    56,226x = 14,944,329,009
  5. Step 5: Solve for x
    x = 14,944,329,009/56,226
  6. Step 6: Final answer
    x = 265,790.36

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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.