Finding the Third Proportional to 91,921.50 and 142,047
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Solution
The third proportional to 91,921.50 and 142,047 is: 219,506.32
Step by Step Solution
- Step 1: Write the proportion equation
91,921.50 : 142,047 = 142,047 : x - Step 2: Convert to fraction form
91,921.50/142,047 = 142,047/x - Step 3: Cross multiply
91,921.50x = 142,047 × 142,047 - Step 4: Simplify right side
91,921.50x = 20,177,350,209 - Step 5: Solve for x
x = 20,177,350,209/91,921.50 - Step 6: Final answer
x = 219,506.32
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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.