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Finding the Third Proportional to 75,739 and 164,017

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Solution

The third proportional to 75,739 and 164,017 is: 355,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,739 : 164,017 = 164,017 : x
  2. Step 2: Convert to fraction form
    75,739/164,017 = 164,017/x
  3. Step 3: Cross multiply
    75,739x = 164,017 × 164,017
  4. Step 4: Simplify right side
    75,739x = 26,901,576,289
  5. Step 5: Solve for x
    x = 26,901,576,289/75,739
  6. Step 6: Final answer
    x = 355,187.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.