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Finding the Third Proportional to 45,217 and 94,565

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Solution

The third proportional to 45,217 and 94,565 is: 197,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217 : 94,565 = 94,565 : x
  2. Step 2: Convert to fraction form
    45,217/94,565 = 94,565/x
  3. Step 3: Cross multiply
    45,217x = 94,565 × 94,565
  4. Step 4: Simplify right side
    45,217x = 8,942,539,225
  5. Step 5: Solve for x
    x = 8,942,539,225/45,217
  6. Step 6: Final answer
    x = 197,769.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.