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Finding the Third Proportional to 44,466 and 104,963

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Solution

The third proportional to 44,466 and 104,963 is: 247,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,466 : 104,963 = 104,963 : x
  2. Step 2: Convert to fraction form
    44,466/104,963 = 104,963/x
  3. Step 3: Cross multiply
    44,466x = 104,963 × 104,963
  4. Step 4: Simplify right side
    44,466x = 11,017,231,369
  5. Step 5: Solve for x
    x = 11,017,231,369/44,466
  6. Step 6: Final answer
    x = 247,767.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.