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Finding the Third Proportional to 41,905.50 and 90,345

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Solution

The third proportional to 41,905.50 and 90,345 is: 194,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,905.50 : 90,345 = 90,345 : x
  2. Step 2: Convert to fraction form
    41,905.50/90,345 = 90,345/x
  3. Step 3: Cross multiply
    41,905.50x = 90,345 × 90,345
  4. Step 4: Simplify right side
    41,905.50x = 8,162,219,025
  5. Step 5: Solve for x
    x = 8,162,219,025/41,905.50
  6. Step 6: Final answer
    x = 194,776.80

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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.