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Finding the Third Proportional to 70,169.06 and 107,358.56

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Solution

The third proportional to 70,169.06 and 107,358.56 is: 164,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,169.06 : 107,358.56 = 107,358.56 : x
  2. Step 2: Convert to fraction form
    70,169.06/107,358.56 = 107,358.56/x
  3. Step 3: Cross multiply
    70,169.06x = 107,358.56 × 107,358.56
  4. Step 4: Simplify right side
    70,169.06x = 11,525,860,942.07
  5. Step 5: Solve for x
    x = 11,525,860,942.07/70,169.06
  6. Step 6: Final answer
    x = 164,258.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.