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Finding the Third Proportional to 44,111 and 95,269

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Solution

The third proportional to 44,111 and 95,269 is: 205,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,111 : 95,269 = 95,269 : x
  2. Step 2: Convert to fraction form
    44,111/95,269 = 95,269/x
  3. Step 3: Cross multiply
    44,111x = 95,269 × 95,269
  4. Step 4: Simplify right side
    44,111x = 9,076,182,361
  5. Step 5: Solve for x
    x = 9,076,182,361/44,111
  6. Step 6: Final answer
    x = 205,757.80

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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.