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Finding the Third Proportional to 108,926 and 171,171

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Solution

The third proportional to 108,926 and 171,171 is: 268,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,926 : 171,171 = 171,171 : x
  2. Step 2: Convert to fraction form
    108,926/171,171 = 171,171/x
  3. Step 3: Cross multiply
    108,926x = 171,171 × 171,171
  4. Step 4: Simplify right side
    108,926x = 29,299,511,241
  5. Step 5: Solve for x
    x = 29,299,511,241/108,926
  6. Step 6: Final answer
    x = 268,985.47

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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.