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Finding the Third Proportional to 56,622.80 and 83,311.03

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Solution

The third proportional to 56,622.80 and 83,311.03 is: 122,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,622.80 : 83,311.03 = 83,311.03 : x
  2. Step 2: Convert to fraction form
    56,622.80/83,311.03 = 83,311.03/x
  3. Step 3: Cross multiply
    56,622.80x = 83,311.03 × 83,311.03
  4. Step 4: Simplify right side
    56,622.80x = 6,940,727,927.94
  5. Step 5: Solve for x
    x = 6,940,727,927.94/56,622.80
  6. Step 6: Final answer
    x = 122,578.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.