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Finding the Third Proportional to 108,258 and 170,049

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Solution

The third proportional to 108,258 and 170,049 is: 267,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,258 : 170,049 = 170,049 : x
  2. Step 2: Convert to fraction form
    108,258/170,049 = 170,049/x
  3. Step 3: Cross multiply
    108,258x = 170,049 × 170,049
  4. Step 4: Simplify right side
    108,258x = 28,916,662,401
  5. Step 5: Solve for x
    x = 28,916,662,401/108,258
  6. Step 6: Final answer
    x = 267,108.78

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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.