Finding the Third Proportional to 77,769 and 120,651
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Solution
The third proportional to 77,769 and 120,651 is: 187,178.23
Step by Step Solution
- Step 1: Write the proportion equation
77,769 : 120,651 = 120,651 : x - Step 2: Convert to fraction form
77,769/120,651 = 120,651/x - Step 3: Cross multiply
77,769x = 120,651 × 120,651 - Step 4: Simplify right side
77,769x = 14,556,663,801 - Step 5: Solve for x
x = 14,556,663,801/77,769 - Step 6: Final answer
x = 187,178.23
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.