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Finding the Third Proportional to 86,818 and 176,051

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Solution

The third proportional to 86,818 and 176,051 is: 356,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,818 : 176,051 = 176,051 : x
  2. Step 2: Convert to fraction form
    86,818/176,051 = 176,051/x
  3. Step 3: Cross multiply
    86,818x = 176,051 × 176,051
  4. Step 4: Simplify right side
    86,818x = 30,993,954,601
  5. Step 5: Solve for x
    x = 30,993,954,601/86,818
  6. Step 6: Final answer
    x = 356,999.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.