Finding the Third Proportional to 72,768 and 115,713
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Solution
The third proportional to 72,768 and 115,713 is: 184,002.56
Step by Step Solution
- Step 1: Write the proportion equation
72,768 : 115,713 = 115,713 : x - Step 2: Convert to fraction form
72,768/115,713 = 115,713/x - Step 3: Cross multiply
72,768x = 115,713 × 115,713 - Step 4: Simplify right side
72,768x = 13,389,498,369 - Step 5: Solve for x
x = 13,389,498,369/72,768 - Step 6: Final answer
x = 184,002.56
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.