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Finding the Third Proportional to 46,425 and 101,256

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Solution

The third proportional to 46,425 and 101,256 is: 220,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,425 : 101,256 = 101,256 : x
  2. Step 2: Convert to fraction form
    46,425/101,256 = 101,256/x
  3. Step 3: Cross multiply
    46,425x = 101,256 × 101,256
  4. Step 4: Simplify right side
    46,425x = 10,252,777,536
  5. Step 5: Solve for x
    x = 10,252,777,536/46,425
  6. Step 6: Final answer
    x = 220,846.04

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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.