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Finding the Third Proportional to 61,048.13 and 132,245.44

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Solution

The third proportional to 61,048.13 and 132,245.44 is: 286,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,048.13 : 132,245.44 = 132,245.44 : x
  2. Step 2: Convert to fraction form
    61,048.13/132,245.44 = 132,245.44/x
  3. Step 3: Cross multiply
    61,048.13x = 132,245.44 × 132,245.44
  4. Step 4: Simplify right side
    61,048.13x = 17,488,855,739.57
  5. Step 5: Solve for x
    x = 17,488,855,739.57/61,048.13
  6. Step 6: Final answer
    x = 286,476.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.