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Finding the Third Proportional to 103,986 and 167,416

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Solution

The third proportional to 103,986 and 167,416 is: 269,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986 : 167,416 = 167,416 : x
  2. Step 2: Convert to fraction form
    103,986/167,416 = 167,416/x
  3. Step 3: Cross multiply
    103,986x = 167,416 × 167,416
  4. Step 4: Simplify right side
    103,986x = 28,028,117,056
  5. Step 5: Solve for x
    x = 28,028,117,056/103,986
  6. Step 6: Final answer
    x = 269,537.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.