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Finding the Third Proportional to 73,974 and 104,672

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Solution

The third proportional to 73,974 and 104,672 is: 148,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,974 : 104,672 = 104,672 : x
  2. Step 2: Convert to fraction form
    73,974/104,672 = 104,672/x
  3. Step 3: Cross multiply
    73,974x = 104,672 × 104,672
  4. Step 4: Simplify right side
    73,974x = 10,956,227,584
  5. Step 5: Solve for x
    x = 10,956,227,584/73,974
  6. Step 6: Final answer
    x = 148,109.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.