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Finding the Third Proportional to 70,916 and 104,974

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Solution

The third proportional to 70,916 and 104,974 is: 155,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,916 : 104,974 = 104,974 : x
  2. Step 2: Convert to fraction form
    70,916/104,974 = 104,974/x
  3. Step 3: Cross multiply
    70,916x = 104,974 × 104,974
  4. Step 4: Simplify right side
    70,916x = 11,019,540,676
  5. Step 5: Solve for x
    x = 11,019,540,676/70,916
  6. Step 6: Final answer
    x = 155,388.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.