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Finding the Third Proportional to 89,035 and 195,565

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Solution

The third proportional to 89,035 and 195,565 is: 429,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,035 : 195,565 = 195,565 : x
  2. Step 2: Convert to fraction form
    89,035/195,565 = 195,565/x
  3. Step 3: Cross multiply
    89,035x = 195,565 × 195,565
  4. Step 4: Simplify right side
    89,035x = 38,245,669,225
  5. Step 5: Solve for x
    x = 38,245,669,225/89,035
  6. Step 6: Final answer
    x = 429,557.69

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Why These Related Problems?

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