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Finding the Third Proportional to 79,077 and 170,611

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Solution

The third proportional to 79,077 and 170,611 is: 368,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,077 : 170,611 = 170,611 : x
  2. Step 2: Convert to fraction form
    79,077/170,611 = 170,611/x
  3. Step 3: Cross multiply
    79,077x = 170,611 × 170,611
  4. Step 4: Simplify right side
    79,077x = 29,108,113,321
  5. Step 5: Solve for x
    x = 29,108,113,321/79,077
  6. Step 6: Final answer
    x = 368,098.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.