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Finding the Third Proportional to 45,999 and 99,256

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Solution

The third proportional to 45,999 and 99,256 is: 214,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,999 : 99,256 = 99,256 : x
  2. Step 2: Convert to fraction form
    45,999/99,256 = 99,256/x
  3. Step 3: Cross multiply
    45,999x = 99,256 × 99,256
  4. Step 4: Simplify right side
    45,999x = 9,851,753,536
  5. Step 5: Solve for x
    x = 9,851,753,536/45,999
  6. Step 6: Final answer
    x = 214,173.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.