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Finding the Third Proportional to 26,067 and 57,207

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Solution

The third proportional to 26,067 and 57,207 is: 125,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,067 : 57,207 = 57,207 : x
  2. Step 2: Convert to fraction form
    26,067/57,207 = 57,207/x
  3. Step 3: Cross multiply
    26,067x = 57,207 × 57,207
  4. Step 4: Simplify right side
    26,067x = 3,272,640,849
  5. Step 5: Solve for x
    x = 3,272,640,849/26,067
  6. Step 6: Final answer
    x = 125,547.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.