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Finding the Third Proportional to 56,380 and 122,696

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Solution

The third proportional to 56,380 and 122,696 is: 267,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,380 : 122,696 = 122,696 : x
  2. Step 2: Convert to fraction form
    56,380/122,696 = 122,696/x
  3. Step 3: Cross multiply
    56,380x = 122,696 × 122,696
  4. Step 4: Simplify right side
    56,380x = 15,054,308,416
  5. Step 5: Solve for x
    x = 15,054,308,416/56,380
  6. Step 6: Final answer
    x = 267,015.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.