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Finding the Third Proportional to 56,256 and 120,320

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Solution

The third proportional to 56,256 and 120,320 is: 257,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,256 : 120,320 = 120,320 : x
  2. Step 2: Convert to fraction form
    56,256/120,320 = 120,320/x
  3. Step 3: Cross multiply
    56,256x = 120,320 × 120,320
  4. Step 4: Simplify right side
    56,256x = 14,476,902,400
  5. Step 5: Solve for x
    x = 14,476,902,400/56,256
  6. Step 6: Final answer
    x = 257,339.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.