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Finding the Third Proportional to 90,172 and 193,632

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Solution

The third proportional to 90,172 and 193,632 is: 415,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,172 : 193,632 = 193,632 : x
  2. Step 2: Convert to fraction form
    90,172/193,632 = 193,632/x
  3. Step 3: Cross multiply
    90,172x = 193,632 × 193,632
  4. Step 4: Simplify right side
    90,172x = 37,493,351,424
  5. Step 5: Solve for x
    x = 37,493,351,424/90,172
  6. Step 6: Final answer
    x = 415,798.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.