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Finding the Third Proportional to 74,266.88 and 116,321.06

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Solution

The third proportional to 74,266.88 and 116,321.06 is: 182,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,266.88 : 116,321.06 = 116,321.06 : x
  2. Step 2: Convert to fraction form
    74,266.88/116,321.06 = 116,321.06/x
  3. Step 3: Cross multiply
    74,266.88x = 116,321.06 × 116,321.06
  4. Step 4: Simplify right side
    74,266.88x = 13,530,589,581.13
  5. Step 5: Solve for x
    x = 13,530,589,581.13/74,266.88
  6. Step 6: Final answer
    x = 182,188.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.