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Finding the Third Proportional to 95,338 and 182,018

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Solution

The third proportional to 95,338 and 182,018 is: 347,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,338 : 182,018 = 182,018 : x
  2. Step 2: Convert to fraction form
    95,338/182,018 = 182,018/x
  3. Step 3: Cross multiply
    95,338x = 182,018 × 182,018
  4. Step 4: Simplify right side
    95,338x = 33,130,552,324
  5. Step 5: Solve for x
    x = 33,130,552,324/95,338
  6. Step 6: Final answer
    x = 347,506.27

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.