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Finding the Third Proportional to 69,113 and 103,933

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Solution

The third proportional to 69,113 and 103,933 is: 156,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,113 : 103,933 = 103,933 : x
  2. Step 2: Convert to fraction form
    69,113/103,933 = 103,933/x
  3. Step 3: Cross multiply
    69,113x = 103,933 × 103,933
  4. Step 4: Simplify right side
    69,113x = 10,802,068,489
  5. Step 5: Solve for x
    x = 10,802,068,489/69,113
  6. Step 6: Final answer
    x = 156,295.75

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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.