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Finding the Third Proportional to 89,571 and 139,803

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Solution

The third proportional to 89,571 and 139,803 is: 218,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,571 : 139,803 = 139,803 : x
  2. Step 2: Convert to fraction form
    89,571/139,803 = 139,803/x
  3. Step 3: Cross multiply
    89,571x = 139,803 × 139,803
  4. Step 4: Simplify right side
    89,571x = 19,544,878,809
  5. Step 5: Solve for x
    x = 19,544,878,809/89,571
  6. Step 6: Final answer
    x = 218,205.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.