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Finding the Third Proportional to 69,938 and 104,883

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Solution

The third proportional to 69,938 and 104,883 is: 157,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,938 : 104,883 = 104,883 : x
  2. Step 2: Convert to fraction form
    69,938/104,883 = 104,883/x
  3. Step 3: Cross multiply
    69,938x = 104,883 × 104,883
  4. Step 4: Simplify right side
    69,938x = 11,000,443,689
  5. Step 5: Solve for x
    x = 11,000,443,689/69,938
  6. Step 6: Final answer
    x = 157,288.51

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