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Finding the Third Proportional to 54,733.22 and 117,651.09

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Solution

The third proportional to 54,733.22 and 117,651.09 is: 252,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,733.22 : 117,651.09 = 117,651.09 : x
  2. Step 2: Convert to fraction form
    54,733.22/117,651.09 = 117,651.09/x
  3. Step 3: Cross multiply
    54,733.22x = 117,651.09 × 117,651.09
  4. Step 4: Simplify right side
    54,733.22x = 13,841,779,860.57
  5. Step 5: Solve for x
    x = 13,841,779,860.57/54,733.22
  6. Step 6: Final answer
    x = 252,895.41

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Why These Related Problems?

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