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Finding the Third Proportional to 108,399 and 170,269

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Solution

The third proportional to 108,399 and 170,269 is: 267,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,399 : 170,269 = 170,269 : x
  2. Step 2: Convert to fraction form
    108,399/170,269 = 170,269/x
  3. Step 3: Cross multiply
    108,399x = 170,269 × 170,269
  4. Step 4: Simplify right side
    108,399x = 28,991,532,361
  5. Step 5: Solve for x
    x = 28,991,532,361/108,399
  6. Step 6: Final answer
    x = 267,452.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.