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Finding the Third Proportional to 69,648.75 and 104,979.38

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Solution

The third proportional to 69,648.75 and 104,979.38 is: 158,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,648.75 : 104,979.38 = 104,979.38 : x
  2. Step 2: Convert to fraction form
    69,648.75/104,979.38 = 104,979.38/x
  3. Step 3: Cross multiply
    69,648.75x = 104,979.38 × 104,979.38
  4. Step 4: Simplify right side
    69,648.75x = 11,020,669,175.39
  5. Step 5: Solve for x
    x = 11,020,669,175.39/69,648.75
  6. Step 6: Final answer
    x = 158,232.12

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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.