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Finding the Third Proportional to 90,726 and 181,815

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Solution

The third proportional to 90,726 and 181,815 is: 364,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,726 : 181,815 = 181,815 : x
  2. Step 2: Convert to fraction form
    90,726/181,815 = 181,815/x
  3. Step 3: Cross multiply
    90,726x = 181,815 × 181,815
  4. Step 4: Simplify right side
    90,726x = 33,056,694,225
  5. Step 5: Solve for x
    x = 33,056,694,225/90,726
  6. Step 6: Final answer
    x = 364,357.45

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.