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Finding the Third Proportional to 56,980.13 and 122,237.44

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Solution

The third proportional to 56,980.13 and 122,237.44 is: 262,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,980.13 : 122,237.44 = 122,237.44 : x
  2. Step 2: Convert to fraction form
    56,980.13/122,237.44 = 122,237.44/x
  3. Step 3: Cross multiply
    56,980.13x = 122,237.44 × 122,237.44
  4. Step 4: Simplify right side
    56,980.13x = 14,941,991,126.57
  5. Step 5: Solve for x
    x = 14,941,991,126.57/56,980.13
  6. Step 6: Final answer
    x = 262,231.63

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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.