Finding the Third Proportional to 75,114 and 116,982
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Solution
The third proportional to 75,114 and 116,982 is: 182,186.92
Step by Step Solution
- Step 1: Write the proportion equation
75,114 : 116,982 = 116,982 : x - Step 2: Convert to fraction form
75,114/116,982 = 116,982/x - Step 3: Cross multiply
75,114x = 116,982 × 116,982 - Step 4: Simplify right side
75,114x = 13,684,788,324 - Step 5: Solve for x
x = 13,684,788,324/75,114 - Step 6: Final answer
x = 182,186.92
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.