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Finding the Third Proportional to 89,763 and 191,190

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Solution

The third proportional to 89,763 and 191,190 is: 407,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,763 : 191,190 = 191,190 : x
  2. Step 2: Convert to fraction form
    89,763/191,190 = 191,190/x
  3. Step 3: Cross multiply
    89,763x = 191,190 × 191,190
  4. Step 4: Simplify right side
    89,763x = 36,553,616,100
  5. Step 5: Solve for x
    x = 36,553,616,100/89,763
  6. Step 6: Final answer
    x = 407,223.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.