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Finding the Third Proportional to 44,425 and 95,963

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Solution

The third proportional to 44,425 and 95,963 is: 207,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,425 : 95,963 = 95,963 : x
  2. Step 2: Convert to fraction form
    44,425/95,963 = 95,963/x
  3. Step 3: Cross multiply
    44,425x = 95,963 × 95,963
  4. Step 4: Simplify right side
    44,425x = 9,208,897,369
  5. Step 5: Solve for x
    x = 9,208,897,369/44,425
  6. Step 6: Final answer
    x = 207,290.88

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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.