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Finding the Third Proportional to 60,738 and 91,917

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Solution

The third proportional to 60,738 and 91,917 is: 139,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,738 : 91,917 = 91,917 : x
  2. Step 2: Convert to fraction form
    60,738/91,917 = 91,917/x
  3. Step 3: Cross multiply
    60,738x = 91,917 × 91,917
  4. Step 4: Simplify right side
    60,738x = 8,448,734,889
  5. Step 5: Solve for x
    x = 8,448,734,889/60,738
  6. Step 6: Final answer
    x = 139,101.30

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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.