Finding the Third Proportional to 77,848 and 120,404
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Solution
The third proportional to 77,848 and 120,404 is: 186,223.45
Step by Step Solution
- Step 1: Write the proportion equation
77,848 : 120,404 = 120,404 : x - Step 2: Convert to fraction form
77,848/120,404 = 120,404/x - Step 3: Cross multiply
77,848x = 120,404 × 120,404 - Step 4: Simplify right side
77,848x = 14,497,123,216 - Step 5: Solve for x
x = 14,497,123,216/77,848 - Step 6: Final answer
x = 186,223.45
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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.