Finding the Third Proportional to 43,698 and 102,717
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Solution
The third proportional to 43,698 and 102,717 is: 241,447.71
Step by Step Solution
- Step 1: Write the proportion equation
43,698 : 102,717 = 102,717 : x - Step 2: Convert to fraction form
43,698/102,717 = 102,717/x - Step 3: Cross multiply
43,698x = 102,717 × 102,717 - Step 4: Simplify right side
43,698x = 10,550,782,089 - Step 5: Solve for x
x = 10,550,782,089/43,698 - Step 6: Final answer
x = 241,447.71
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.