Finding the Third Proportional to 130,115 and 201,082
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Solution
The third proportional to 130,115 and 201,082 is: 310,755.64
Step by Step Solution
- Step 1: Write the proportion equation
130,115 : 201,082 = 201,082 : x - Step 2: Convert to fraction form
130,115/201,082 = 201,082/x - Step 3: Cross multiply
130,115x = 201,082 × 201,082 - Step 4: Simplify right side
130,115x = 40,433,970,724 - Step 5: Solve for x
x = 40,433,970,724/130,115 - Step 6: Final answer
x = 310,755.64
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.