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Finding the Third Proportional to 104,955.75 and 122,016.38

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Solution

The third proportional to 104,955.75 and 122,016.38 is: 141,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,955.75 : 122,016.38 = 122,016.38 : x
  2. Step 2: Convert to fraction form
    104,955.75/122,016.38 = 122,016.38/x
  3. Step 3: Cross multiply
    104,955.75x = 122,016.38 × 122,016.38
  4. Step 4: Simplify right side
    104,955.75x = 14,887,995,768.14
  5. Step 5: Solve for x
    x = 14,887,995,768.14/104,955.75
  6. Step 6: Final answer
    x = 141,850.22

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.