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Finding the Third Proportional to 69,561 and 100,483

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Solution

The third proportional to 69,561 and 100,483 is: 145,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,561 : 100,483 = 100,483 : x
  2. Step 2: Convert to fraction form
    69,561/100,483 = 100,483/x
  3. Step 3: Cross multiply
    69,561x = 100,483 × 100,483
  4. Step 4: Simplify right side
    69,561x = 10,096,833,289
  5. Step 5: Solve for x
    x = 10,096,833,289/69,561
  6. Step 6: Final answer
    x = 145,150.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.