Finding the Third Proportional to 78,106 and 161,751
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Solution
The third proportional to 78,106 and 161,751 is: 334,972.81
Step by Step Solution
- Step 1: Write the proportion equation
78,106 : 161,751 = 161,751 : x - Step 2: Convert to fraction form
78,106/161,751 = 161,751/x - Step 3: Cross multiply
78,106x = 161,751 × 161,751 - Step 4: Simplify right side
78,106x = 26,163,386,001 - Step 5: Solve for x
x = 26,163,386,001/78,106 - Step 6: Final answer
x = 334,972.81
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.