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Finding the Third Proportional to 108,839 and 164,901

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Solution

The third proportional to 108,839 and 164,901 is: 249,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,839 : 164,901 = 164,901 : x
  2. Step 2: Convert to fraction form
    108,839/164,901 = 164,901/x
  3. Step 3: Cross multiply
    108,839x = 164,901 × 164,901
  4. Step 4: Simplify right side
    108,839x = 27,192,339,801
  5. Step 5: Solve for x
    x = 27,192,339,801/108,839
  6. Step 6: Final answer
    x = 249,840.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.