Finding the Third Proportional to 78,000 and 117,703
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Solution
The third proportional to 78,000 and 117,703 is: 177,615.34
Step by Step Solution
- Step 1: Write the proportion equation
78,000 : 117,703 = 117,703 : x - Step 2: Convert to fraction form
78,000/117,703 = 117,703/x - Step 3: Cross multiply
78,000x = 117,703 × 117,703 - Step 4: Simplify right side
78,000x = 13,853,996,209 - Step 5: Solve for x
x = 13,853,996,209/78,000 - Step 6: Final answer
x = 177,615.34
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.