Finding the Third Proportional to 55,784 and 120,316
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Solution
The third proportional to 55,784 and 120,316 is: 259,499.85
Step by Step Solution
- Step 1: Write the proportion equation
55,784 : 120,316 = 120,316 : x - Step 2: Convert to fraction form
55,784/120,316 = 120,316/x - Step 3: Cross multiply
55,784x = 120,316 × 120,316 - Step 4: Simplify right side
55,784x = 14,475,939,856 - Step 5: Solve for x
x = 14,475,939,856/55,784 - Step 6: Final answer
x = 259,499.85
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.