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Finding the Third Proportional to 66,176 and 146,176

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Solution

The third proportional to 66,176 and 146,176 is: 322,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,176 : 146,176 = 146,176 : x
  2. Step 2: Convert to fraction form
    66,176/146,176 = 146,176/x
  3. Step 3: Cross multiply
    66,176x = 146,176 × 146,176
  4. Step 4: Simplify right side
    66,176x = 21,367,422,976
  5. Step 5: Solve for x
    x = 21,367,422,976/66,176
  6. Step 6: Final answer
    x = 322,887.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.