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Finding the Third Proportional to 58,676.75 and 126,706.38

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Solution

The third proportional to 58,676.75 and 126,706.38 is: 273,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,676.75 : 126,706.38 = 126,706.38 : x
  2. Step 2: Convert to fraction form
    58,676.75/126,706.38 = 126,706.38/x
  3. Step 3: Cross multiply
    58,676.75x = 126,706.38 × 126,706.38
  4. Step 4: Simplify right side
    58,676.75x = 16,054,505,465.64
  5. Step 5: Solve for x
    x = 16,054,505,465.64/58,676.75
  6. Step 6: Final answer
    x = 273,609.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.