Finding the Third Proportional to 71,005.50 and 109,944
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Solution
The third proportional to 71,005.50 and 109,944 is: 170,235.87
Step by Step Solution
- Step 1: Write the proportion equation
71,005.50 : 109,944 = 109,944 : x - Step 2: Convert to fraction form
71,005.50/109,944 = 109,944/x - Step 3: Cross multiply
71,005.50x = 109,944 × 109,944 - Step 4: Simplify right side
71,005.50x = 12,087,683,136 - Step 5: Solve for x
x = 12,087,683,136/71,005.50 - Step 6: Final answer
x = 170,235.87
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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.