Finding the Third Proportional to 102,467 and 210,037
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Solution
The third proportional to 102,467 and 210,037 is: 430,534.14
Step by Step Solution
- Step 1: Write the proportion equation
102,467 : 210,037 = 210,037 : x - Step 2: Convert to fraction form
102,467/210,037 = 210,037/x - Step 3: Cross multiply
102,467x = 210,037 × 210,037 - Step 4: Simplify right side
102,467x = 44,115,541,369 - Step 5: Solve for x
x = 44,115,541,369/102,467 - Step 6: Final answer
x = 430,534.14
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.