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Finding the Third Proportional to 89,271 and 122,410

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Solution

The third proportional to 89,271 and 122,410 is: 167,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,271 : 122,410 = 122,410 : x
  2. Step 2: Convert to fraction form
    89,271/122,410 = 122,410/x
  3. Step 3: Cross multiply
    89,271x = 122,410 × 122,410
  4. Step 4: Simplify right side
    89,271x = 14,984,208,100
  5. Step 5: Solve for x
    x = 14,984,208,100/89,271
  6. Step 6: Final answer
    x = 167,850.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.