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Finding the Third Proportional to 54,265 and 112,689

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Solution

The third proportional to 54,265 and 112,689 is: 234,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,265 : 112,689 = 112,689 : x
  2. Step 2: Convert to fraction form
    54,265/112,689 = 112,689/x
  3. Step 3: Cross multiply
    54,265x = 112,689 × 112,689
  4. Step 4: Simplify right side
    54,265x = 12,698,810,721
  5. Step 5: Solve for x
    x = 12,698,810,721/54,265
  6. Step 6: Final answer
    x = 234,014.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.