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Finding the Third Proportional to 89,039 and 195,573

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Solution

The third proportional to 89,039 and 195,573 is: 429,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,039 : 195,573 = 195,573 : x
  2. Step 2: Convert to fraction form
    89,039/195,573 = 195,573/x
  3. Step 3: Cross multiply
    89,039x = 195,573 × 195,573
  4. Step 4: Simplify right side
    89,039x = 38,248,798,329
  5. Step 5: Solve for x
    x = 38,248,798,329/89,039
  6. Step 6: Final answer
    x = 429,573.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.