Finding the Third Proportional to 77,267 and 166,088
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Solution
The third proportional to 77,267 and 166,088 is: 357,011.71
Step by Step Solution
- Step 1: Write the proportion equation
77,267 : 166,088 = 166,088 : x - Step 2: Convert to fraction form
77,267/166,088 = 166,088/x - Step 3: Cross multiply
77,267x = 166,088 × 166,088 - Step 4: Simplify right side
77,267x = 27,585,223,744 - Step 5: Solve for x
x = 27,585,223,744/77,267 - Step 6: Final answer
x = 357,011.71
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.