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Finding the Third Proportional to 43,873 and 70,655

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Solution

The third proportional to 43,873 and 70,655 is: 113,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,873 : 70,655 = 70,655 : x
  2. Step 2: Convert to fraction form
    43,873/70,655 = 70,655/x
  3. Step 3: Cross multiply
    43,873x = 70,655 × 70,655
  4. Step 4: Simplify right side
    43,873x = 4,992,129,025
  5. Step 5: Solve for x
    x = 4,992,129,025/43,873
  6. Step 6: Final answer
    x = 113,785.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.