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Finding the Third Proportional to 68,487 and 100,884

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Solution

The third proportional to 68,487 and 100,884 is: 148,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,487 : 100,884 = 100,884 : x
  2. Step 2: Convert to fraction form
    68,487/100,884 = 100,884/x
  3. Step 3: Cross multiply
    68,487x = 100,884 × 100,884
  4. Step 4: Simplify right side
    68,487x = 10,177,581,456
  5. Step 5: Solve for x
    x = 10,177,581,456/68,487
  6. Step 6: Final answer
    x = 148,606.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.