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Finding the Third Proportional to 96,714 and 202,176

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Solution

The third proportional to 96,714 and 202,176 is: 422,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,714 : 202,176 = 202,176 : x
  2. Step 2: Convert to fraction form
    96,714/202,176 = 202,176/x
  3. Step 3: Cross multiply
    96,714x = 202,176 × 202,176
  4. Step 4: Simplify right side
    96,714x = 40,875,134,976
  5. Step 5: Solve for x
    x = 40,875,134,976/96,714
  6. Step 6: Final answer
    x = 422,639.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.