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Finding the Third Proportional to 71,092 and 108,173

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Solution

The third proportional to 71,092 and 108,173 is: 164,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,092 : 108,173 = 108,173 : x
  2. Step 2: Convert to fraction form
    71,092/108,173 = 108,173/x
  3. Step 3: Cross multiply
    71,092x = 108,173 × 108,173
  4. Step 4: Simplify right side
    71,092x = 11,701,397,929
  5. Step 5: Solve for x
    x = 11,701,397,929/71,092
  6. Step 6: Final answer
    x = 164,595.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.