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Finding the Third Proportional to 54,814 and 82,071

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Solution

The third proportional to 54,814 and 82,071 is: 122,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814 : 82,071 = 82,071 : x
  2. Step 2: Convert to fraction form
    54,814/82,071 = 82,071/x
  3. Step 3: Cross multiply
    54,814x = 82,071 × 82,071
  4. Step 4: Simplify right side
    54,814x = 6,735,649,041
  5. Step 5: Solve for x
    x = 6,735,649,041/54,814
  6. Step 6: Final answer
    x = 122,881.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.