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Finding the Third Proportional to 69,938.25 and 104,883.38

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Solution

The third proportional to 69,938.25 and 104,883.38 is: 157,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,938.25 : 104,883.38 = 104,883.38 : x
  2. Step 2: Convert to fraction form
    69,938.25/104,883.38 = 104,883.38/x
  3. Step 3: Cross multiply
    69,938.25x = 104,883.38 × 104,883.38
  4. Step 4: Simplify right side
    69,938.25x = 11,000,522,351.39
  5. Step 5: Solve for x
    x = 11,000,522,351.39/69,938.25
  6. Step 6: Final answer
    x = 157,289.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.