Finding the Third Proportional to 78,840 and 117,951
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Solution
The third proportional to 78,840 and 117,951 is: 176,464.21
Step by Step Solution
- Step 1: Write the proportion equation
78,840 : 117,951 = 117,951 : x - Step 2: Convert to fraction form
78,840/117,951 = 117,951/x - Step 3: Cross multiply
78,840x = 117,951 × 117,951 - Step 4: Simplify right side
78,840x = 13,912,438,401 - Step 5: Solve for x
x = 13,912,438,401/78,840 - Step 6: Final answer
x = 176,464.21
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.