Finding the Third Proportional to 46,455 and 102,159
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Solution
The third proportional to 46,455 and 102,159 is: 224,657.44
Step by Step Solution
- Step 1: Write the proportion equation
46,455 : 102,159 = 102,159 : x - Step 2: Convert to fraction form
46,455/102,159 = 102,159/x - Step 3: Cross multiply
46,455x = 102,159 × 102,159 - Step 4: Simplify right side
46,455x = 10,436,461,281 - Step 5: Solve for x
x = 10,436,461,281/46,455 - Step 6: Final answer
x = 224,657.44
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.