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Finding the Third Proportional to 73,726 and 102,194

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Solution

The third proportional to 73,726 and 102,194 is: 141,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,726 : 102,194 = 102,194 : x
  2. Step 2: Convert to fraction form
    73,726/102,194 = 102,194/x
  3. Step 3: Cross multiply
    73,726x = 102,194 × 102,194
  4. Step 4: Simplify right side
    73,726x = 10,443,613,636
  5. Step 5: Solve for x
    x = 10,443,613,636/73,726
  6. Step 6: Final answer
    x = 141,654.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.