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Finding the Third Proportional to 79,242 and 165,010

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Solution

The third proportional to 79,242 and 165,010 is: 343,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,242 : 165,010 = 165,010 : x
  2. Step 2: Convert to fraction form
    79,242/165,010 = 165,010/x
  3. Step 3: Cross multiply
    79,242x = 165,010 × 165,010
  4. Step 4: Simplify right side
    79,242x = 27,228,300,100
  5. Step 5: Solve for x
    x = 27,228,300,100/79,242
  6. Step 6: Final answer
    x = 343,609.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.