Finding the Third Proportional to 78,402 and 117,779
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Solution
The third proportional to 78,402 and 117,779 is: 176,932.90
Step by Step Solution
- Step 1: Write the proportion equation
78,402 : 117,779 = 117,779 : x - Step 2: Convert to fraction form
78,402/117,779 = 117,779/x - Step 3: Cross multiply
78,402x = 117,779 × 117,779 - Step 4: Simplify right side
78,402x = 13,871,892,841 - Step 5: Solve for x
x = 13,871,892,841/78,402 - Step 6: Final answer
x = 176,932.90
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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.