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Finding the Third Proportional to 89,244 and 143,562

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Solution

The third proportional to 89,244 and 143,562 is: 230,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,244 : 143,562 = 143,562 : x
  2. Step 2: Convert to fraction form
    89,244/143,562 = 143,562/x
  3. Step 3: Cross multiply
    89,244x = 143,562 × 143,562
  4. Step 4: Simplify right side
    89,244x = 20,610,047,844
  5. Step 5: Solve for x
    x = 20,610,047,844/89,244
  6. Step 6: Final answer
    x = 230,940.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.