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Finding the Third Proportional to 40,111 and 87,997

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Solution

The third proportional to 40,111 and 87,997 is: 193,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,111 : 87,997 = 87,997 : x
  2. Step 2: Convert to fraction form
    40,111/87,997 = 87,997/x
  3. Step 3: Cross multiply
    40,111x = 87,997 × 87,997
  4. Step 4: Simplify right side
    40,111x = 7,743,472,009
  5. Step 5: Solve for x
    x = 7,743,472,009/40,111
  6. Step 6: Final answer
    x = 193,051.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.