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Finding the Third Proportional to 90,147 and 194,750

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Solution

The third proportional to 90,147 and 194,750 is: 420,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,147 : 194,750 = 194,750 : x
  2. Step 2: Convert to fraction form
    90,147/194,750 = 194,750/x
  3. Step 3: Cross multiply
    90,147x = 194,750 × 194,750
  4. Step 4: Simplify right side
    90,147x = 37,927,562,500
  5. Step 5: Solve for x
    x = 37,927,562,500/90,147
  6. Step 6: Final answer
    x = 420,730.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.