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Finding the Third Proportional to 89,961 and 132,022

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Solution

The third proportional to 89,961 and 132,022 is: 193,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,961 : 132,022 = 132,022 : x
  2. Step 2: Convert to fraction form
    89,961/132,022 = 132,022/x
  3. Step 3: Cross multiply
    89,961x = 132,022 × 132,022
  4. Step 4: Simplify right side
    89,961x = 17,429,808,484
  5. Step 5: Solve for x
    x = 17,429,808,484/89,961
  6. Step 6: Final answer
    x = 193,748.50

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Why These Related Problems?

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