Finding the Third Proportional to 49,722 and 77,095
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Solution
The third proportional to 49,722 and 77,095 is: 119,537.41
Step by Step Solution
- Step 1: Write the proportion equation
49,722 : 77,095 = 77,095 : x - Step 2: Convert to fraction form
49,722/77,095 = 77,095/x - Step 3: Cross multiply
49,722x = 77,095 × 77,095 - Step 4: Simplify right side
49,722x = 5,943,639,025 - Step 5: Solve for x
x = 5,943,639,025/49,722 - Step 6: Final answer
x = 119,537.41
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.