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Finding the Third Proportional to 56,945 and 122,314

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Solution

The third proportional to 56,945 and 122,314 is: 262,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,945 : 122,314 = 122,314 : x
  2. Step 2: Convert to fraction form
    56,945/122,314 = 122,314/x
  3. Step 3: Cross multiply
    56,945x = 122,314 × 122,314
  4. Step 4: Simplify right side
    56,945x = 14,960,714,596
  5. Step 5: Solve for x
    x = 14,960,714,596/56,945
  6. Step 6: Final answer
    x = 262,722.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.