Finding the Third Proportional to 49,270 and 106,316
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Solution
The third proportional to 49,270 and 106,316 is: 229,411.24
Step by Step Solution
- Step 1: Write the proportion equation
49,270 : 106,316 = 106,316 : x - Step 2: Convert to fraction form
49,270/106,316 = 106,316/x - Step 3: Cross multiply
49,270x = 106,316 × 106,316 - Step 4: Simplify right side
49,270x = 11,303,091,856 - Step 5: Solve for x
x = 11,303,091,856/49,270 - Step 6: Final answer
x = 229,411.24
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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.