Finding the Third Proportional to 34,078 and 74,717
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Solution
The third proportional to 34,078 and 74,717 is: 163,819.18
Step by Step Solution
- Step 1: Write the proportion equation
34,078 : 74,717 = 74,717 : x - Step 2: Convert to fraction form
34,078/74,717 = 74,717/x - Step 3: Cross multiply
34,078x = 74,717 × 74,717 - Step 4: Simplify right side
34,078x = 5,582,630,089 - Step 5: Solve for x
x = 5,582,630,089/34,078 - Step 6: Final answer
x = 163,819.18
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.