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Finding the Third Proportional to 56,354 and 114,256

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Solution

The third proportional to 56,354 and 114,256 is: 231,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,354 : 114,256 = 114,256 : x
  2. Step 2: Convert to fraction form
    56,354/114,256 = 114,256/x
  3. Step 3: Cross multiply
    56,354x = 114,256 × 114,256
  4. Step 4: Simplify right side
    56,354x = 13,054,433,536
  5. Step 5: Solve for x
    x = 13,054,433,536/56,354
  6. Step 6: Final answer
    x = 231,650.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.