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Finding the Third Proportional to 70,462.41 and 109,057.64

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Solution

The third proportional to 70,462.41 and 109,057.64 is: 168,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,462.41 : 109,057.64 = 109,057.64 : x
  2. Step 2: Convert to fraction form
    70,462.41/109,057.64 = 109,057.64/x
  3. Step 3: Cross multiply
    70,462.41x = 109,057.64 × 109,057.64
  4. Step 4: Simplify right side
    70,462.41x = 11,893,568,978.69
  5. Step 5: Solve for x
    x = 11,893,568,978.69/70,462.41
  6. Step 6: Final answer
    x = 168,793.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.