Finding the Third Proportional to 72,816 and 115,784
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Solution
The third proportional to 72,816 and 115,784 is: 184,106.99
Step by Step Solution
- Step 1: Write the proportion equation
72,816 : 115,784 = 115,784 : x - Step 2: Convert to fraction form
72,816/115,784 = 115,784/x - Step 3: Cross multiply
72,816x = 115,784 × 115,784 - Step 4: Simplify right side
72,816x = 13,405,934,656 - Step 5: Solve for x
x = 13,405,934,656/72,816 - Step 6: Final answer
x = 184,106.99
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.