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Finding the Third Proportional to 54,462 and 79,531

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Solution

The third proportional to 54,462 and 79,531 is: 116,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462 : 79,531 = 79,531 : x
  2. Step 2: Convert to fraction form
    54,462/79,531 = 79,531/x
  3. Step 3: Cross multiply
    54,462x = 79,531 × 79,531
  4. Step 4: Simplify right side
    54,462x = 6,325,179,961
  5. Step 5: Solve for x
    x = 6,325,179,961/54,462
  6. Step 6: Final answer
    x = 116,139.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.