Finding the Third Proportional to 64,946 and 132,964
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Solution
The third proportional to 64,946 and 132,964 is: 272,217.31
Step by Step Solution
- Step 1: Write the proportion equation
64,946 : 132,964 = 132,964 : x - Step 2: Convert to fraction form
64,946/132,964 = 132,964/x - Step 3: Cross multiply
64,946x = 132,964 × 132,964 - Step 4: Simplify right side
64,946x = 17,679,425,296 - Step 5: Solve for x
x = 17,679,425,296/64,946 - Step 6: Final answer
x = 272,217.31
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.