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Finding the Third Proportional to 71,174 and 109,173

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Solution

The third proportional to 71,174 and 109,173 is: 167,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174 : 109,173 = 109,173 : x
  2. Step 2: Convert to fraction form
    71,174/109,173 = 109,173/x
  3. Step 3: Cross multiply
    71,174x = 109,173 × 109,173
  4. Step 4: Simplify right side
    71,174x = 11,918,743,929
  5. Step 5: Solve for x
    x = 11,918,743,929/71,174
  6. Step 6: Final answer
    x = 167,459.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.