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Finding the Third Proportional to 70,014.38 and 107,616.94

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Solution

The third proportional to 70,014.38 and 107,616.94 is: 165,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,014.38 : 107,616.94 = 107,616.94 : x
  2. Step 2: Convert to fraction form
    70,014.38/107,616.94 = 107,616.94/x
  3. Step 3: Cross multiply
    70,014.38x = 107,616.94 × 107,616.94
  4. Step 4: Simplify right side
    70,014.38x = 11,581,405,236.88
  5. Step 5: Solve for x
    x = 11,581,405,236.88/70,014.38
  6. Step 6: Final answer
    x = 165,414.68

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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.