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Finding the Third Proportional to 36,206.06 and 75,722.63

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Solution

The third proportional to 36,206.06 and 75,722.63 is: 158,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206.06 : 75,722.63 = 75,722.63 : x
  2. Step 2: Convert to fraction form
    36,206.06/75,722.63 = 75,722.63/x
  3. Step 3: Cross multiply
    36,206.06x = 75,722.63 × 75,722.63
  4. Step 4: Simplify right side
    36,206.06x = 5,733,915,936.89
  5. Step 5: Solve for x
    x = 5,733,915,936.89/36,206.06
  6. Step 6: Final answer
    x = 158,368.95

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.