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Finding the Third Proportional to 70,011 and 107,608.50

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Solution

The third proportional to 70,011 and 107,608.50 is: 165,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,011 : 107,608.50 = 107,608.50 : x
  2. Step 2: Convert to fraction form
    70,011/107,608.50 = 107,608.50/x
  3. Step 3: Cross multiply
    70,011x = 107,608.50 × 107,608.50
  4. Step 4: Simplify right side
    70,011x = 11,579,589,272.25
  5. Step 5: Solve for x
    x = 11,579,589,272.25/70,011
  6. Step 6: Final answer
    x = 165,396.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.