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Finding the Third Proportional to 86,274 and 133,173

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Solution

The third proportional to 86,274 and 133,173 is: 205,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,274 : 133,173 = 133,173 : x
  2. Step 2: Convert to fraction form
    86,274/133,173 = 133,173/x
  3. Step 3: Cross multiply
    86,274x = 133,173 × 133,173
  4. Step 4: Simplify right side
    86,274x = 17,735,047,929
  5. Step 5: Solve for x
    x = 17,735,047,929/86,274
  6. Step 6: Final answer
    x = 205,566.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.