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Finding the Third Proportional to 43,774 and 105,537

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Solution

The third proportional to 43,774 and 105,537 is: 254,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774 : 105,537 = 105,537 : x
  2. Step 2: Convert to fraction form
    43,774/105,537 = 105,537/x
  3. Step 3: Cross multiply
    43,774x = 105,537 × 105,537
  4. Step 4: Simplify right side
    43,774x = 11,138,058,369
  5. Step 5: Solve for x
    x = 11,138,058,369/43,774
  6. Step 6: Final answer
    x = 254,444.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.