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Finding the Third Proportional to 69,297.75 and 104,337

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Solution

The third proportional to 69,297.75 and 104,337 is: 157,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,297.75 : 104,337 = 104,337 : x
  2. Step 2: Convert to fraction form
    69,297.75/104,337 = 104,337/x
  3. Step 3: Cross multiply
    69,297.75x = 104,337 × 104,337
  4. Step 4: Simplify right side
    69,297.75x = 10,886,209,569
  5. Step 5: Solve for x
    x = 10,886,209,569/69,297.75
  6. Step 6: Final answer
    x = 157,093.26

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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.