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Finding the Third Proportional to 36,065.25 and 77,456.25

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Solution

The third proportional to 36,065.25 and 77,456.25 is: 166,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065.25 : 77,456.25 = 77,456.25 : x
  2. Step 2: Convert to fraction form
    36,065.25/77,456.25 = 77,456.25/x
  3. Step 3: Cross multiply
    36,065.25x = 77,456.25 × 77,456.25
  4. Step 4: Simplify right side
    36,065.25x = 5,999,470,664.06
  5. Step 5: Solve for x
    x = 5,999,470,664.06/36,065.25
  6. Step 6: Final answer
    x = 166,350.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.