Finding the Third Proportional to 97,471 and 122,012
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Solution
The third proportional to 97,471 and 122,012 is: 152,731.87
Step by Step Solution
- Step 1: Write the proportion equation
97,471 : 122,012 = 122,012 : x - Step 2: Convert to fraction form
97,471/122,012 = 122,012/x - Step 3: Cross multiply
97,471x = 122,012 × 122,012 - Step 4: Simplify right side
97,471x = 14,886,928,144 - Step 5: Solve for x
x = 14,886,928,144/97,471 - Step 6: Final answer
x = 152,731.87
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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.