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Finding the Third Proportional to 70,906.64 and 104,958.91

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Solution

The third proportional to 70,906.64 and 104,958.91 is: 155,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.64 : 104,958.91 = 104,958.91 : x
  2. Step 2: Convert to fraction form
    70,906.64/104,958.91 = 104,958.91/x
  3. Step 3: Cross multiply
    70,906.64x = 104,958.91 × 104,958.91
  4. Step 4: Simplify right side
    70,906.64x = 11,016,373,641.18
  5. Step 5: Solve for x
    x = 11,016,373,641.18/70,906.64
  6. Step 6: Final answer
    x = 155,364.48

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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.