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Finding the Third Proportional to 86,292 and 176,764

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Solution

The third proportional to 86,292 and 176,764 is: 362,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,292 : 176,764 = 176,764 : x
  2. Step 2: Convert to fraction form
    86,292/176,764 = 176,764/x
  3. Step 3: Cross multiply
    86,292x = 176,764 × 176,764
  4. Step 4: Simplify right side
    86,292x = 31,245,511,696
  5. Step 5: Solve for x
    x = 31,245,511,696/86,292
  6. Step 6: Final answer
    x = 362,090.48

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Why These Related Problems?

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