Finding the Third Proportional to 77,314.50 and 164,754
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Solution
The third proportional to 77,314.50 and 164,754 is: 351,083.96
Step by Step Solution
- Step 1: Write the proportion equation
77,314.50 : 164,754 = 164,754 : x - Step 2: Convert to fraction form
77,314.50/164,754 = 164,754/x - Step 3: Cross multiply
77,314.50x = 164,754 × 164,754 - Step 4: Simplify right side
77,314.50x = 27,143,880,516 - Step 5: Solve for x
x = 27,143,880,516/77,314.50 - Step 6: Final answer
x = 351,083.96
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.