Finding the Third Proportional to 75,346 and 161,178
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Solution
The third proportional to 75,346 and 161,178 is: 344,787.35
Step by Step Solution
- Step 1: Write the proportion equation
75,346 : 161,178 = 161,178 : x - Step 2: Convert to fraction form
75,346/161,178 = 161,178/x - Step 3: Cross multiply
75,346x = 161,178 × 161,178 - Step 4: Simplify right side
75,346x = 25,978,347,684 - Step 5: Solve for x
x = 25,978,347,684/75,346 - Step 6: Final answer
x = 344,787.35
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.