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Finding the Third Proportional to 79,139 and 161,205

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Solution

The third proportional to 79,139 and 161,205 is: 328,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,139 : 161,205 = 161,205 : x
  2. Step 2: Convert to fraction form
    79,139/161,205 = 161,205/x
  3. Step 3: Cross multiply
    79,139x = 161,205 × 161,205
  4. Step 4: Simplify right side
    79,139x = 25,987,052,025
  5. Step 5: Solve for x
    x = 25,987,052,025/79,139
  6. Step 6: Final answer
    x = 328,372.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.