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Finding the Third Proportional to 70,917 and 104,973

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Solution

The third proportional to 70,917 and 104,973 is: 155,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,917 : 104,973 = 104,973 : x
  2. Step 2: Convert to fraction form
    70,917/104,973 = 104,973/x
  3. Step 3: Cross multiply
    70,917x = 104,973 × 104,973
  4. Step 4: Simplify right side
    70,917x = 11,019,330,729
  5. Step 5: Solve for x
    x = 11,019,330,729/70,917
  6. Step 6: Final answer
    x = 155,383.49

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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.