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Finding the Third Proportional to 54,921 and 82,989

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Solution

The third proportional to 54,921 and 82,989 is: 125,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,921 : 82,989 = 82,989 : x
  2. Step 2: Convert to fraction form
    54,921/82,989 = 82,989/x
  3. Step 3: Cross multiply
    54,921x = 82,989 × 82,989
  4. Step 4: Simplify right side
    54,921x = 6,887,174,121
  5. Step 5: Solve for x
    x = 6,887,174,121/54,921
  6. Step 6: Final answer
    x = 125,401.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.