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Finding the Third Proportional to 108,263 and 170,069

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Solution

The third proportional to 108,263 and 170,069 is: 267,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,263 : 170,069 = 170,069 : x
  2. Step 2: Convert to fraction form
    108,263/170,069 = 170,069/x
  3. Step 3: Cross multiply
    108,263x = 170,069 × 170,069
  4. Step 4: Simplify right side
    108,263x = 28,923,464,761
  5. Step 5: Solve for x
    x = 28,923,464,761/108,263
  6. Step 6: Final answer
    x = 267,159.28

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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.