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Finding the Third Proportional to 69,233 and 103,733

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Solution

The third proportional to 69,233 and 103,733 is: 155,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,233 : 103,733 = 103,733 : x
  2. Step 2: Convert to fraction form
    69,233/103,733 = 103,733/x
  3. Step 3: Cross multiply
    69,233x = 103,733 × 103,733
  4. Step 4: Simplify right side
    69,233x = 10,760,535,289
  5. Step 5: Solve for x
    x = 10,760,535,289/69,233
  6. Step 6: Final answer
    x = 155,424.95

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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.