Finding the Third Proportional to 106,516 and 224,072
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Solution
The third proportional to 106,516 and 224,072 is: 471,368.26
Step by Step Solution
- Step 1: Write the proportion equation
106,516 : 224,072 = 224,072 : x - Step 2: Convert to fraction form
106,516/224,072 = 224,072/x - Step 3: Cross multiply
106,516x = 224,072 × 224,072 - Step 4: Simplify right side
106,516x = 50,208,261,184 - Step 5: Solve for x
x = 50,208,261,184/106,516 - Step 6: Final answer
x = 471,368.26
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.