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Finding the Third Proportional to 89,762 and 132,910

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Solution

The third proportional to 89,762 and 132,910 is: 196,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762 : 132,910 = 132,910 : x
  2. Step 2: Convert to fraction form
    89,762/132,910 = 132,910/x
  3. Step 3: Cross multiply
    89,762x = 132,910 × 132,910
  4. Step 4: Simplify right side
    89,762x = 17,665,068,100
  5. Step 5: Solve for x
    x = 17,665,068,100/89,762
  6. Step 6: Final answer
    x = 196,798.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.