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Finding the Third Proportional to 41,830 and 90,176

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Solution

The third proportional to 41,830 and 90,176 is: 194,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,830 : 90,176 = 90,176 : x
  2. Step 2: Convert to fraction form
    41,830/90,176 = 90,176/x
  3. Step 3: Cross multiply
    41,830x = 90,176 × 90,176
  4. Step 4: Simplify right side
    41,830x = 8,131,710,976
  5. Step 5: Solve for x
    x = 8,131,710,976/41,830
  6. Step 6: Final answer
    x = 194,399.02

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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.