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Finding the Third Proportional to 89,422 and 132,594

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Solution

The third proportional to 89,422 and 132,594 is: 196,608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,422 : 132,594 = 132,594 : x
  2. Step 2: Convert to fraction form
    89,422/132,594 = 132,594/x
  3. Step 3: Cross multiply
    89,422x = 132,594 × 132,594
  4. Step 4: Simplify right side
    89,422x = 17,581,168,836
  5. Step 5: Solve for x
    x = 17,581,168,836/89,422
  6. Step 6: Final answer
    x = 196,608.99

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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.