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Finding the Third Proportional to 86,291 and 176,764

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Solution

The third proportional to 86,291 and 176,764 is: 362,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,291 : 176,764 = 176,764 : x
  2. Step 2: Convert to fraction form
    86,291/176,764 = 176,764/x
  3. Step 3: Cross multiply
    86,291x = 176,764 × 176,764
  4. Step 4: Simplify right side
    86,291x = 31,245,511,696
  5. Step 5: Solve for x
    x = 31,245,511,696/86,291
  6. Step 6: Final answer
    x = 362,094.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.