Finding the Third Proportional to 76,206.75 and 117,537.75
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Solution
The third proportional to 76,206.75 and 117,537.75 is: 181,284.76
Step by Step Solution
- Step 1: Write the proportion equation
76,206.75 : 117,537.75 = 117,537.75 : x - Step 2: Convert to fraction form
76,206.75/117,537.75 = 117,537.75/x - Step 3: Cross multiply
76,206.75x = 117,537.75 × 117,537.75 - Step 4: Simplify right side
76,206.75x = 13,815,122,675.06 - Step 5: Solve for x
x = 13,815,122,675.06/76,206.75 - Step 6: Final answer
x = 181,284.76
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.