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Finding the Third Proportional to 86,148 and 179,676

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Solution

The third proportional to 86,148 and 179,676 is: 374,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,148 : 179,676 = 179,676 : x
  2. Step 2: Convert to fraction form
    86,148/179,676 = 179,676/x
  3. Step 3: Cross multiply
    86,148x = 179,676 × 179,676
  4. Step 4: Simplify right side
    86,148x = 32,283,464,976
  5. Step 5: Solve for x
    x = 32,283,464,976/86,148
  6. Step 6: Final answer
    x = 374,744.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.