Finding the Third Proportional to 105,071.50 and 157,236
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Solution
The third proportional to 105,071.50 and 157,236 is: 235,298.44
Step by Step Solution
- Step 1: Write the proportion equation
105,071.50 : 157,236 = 157,236 : x - Step 2: Convert to fraction form
105,071.50/157,236 = 157,236/x - Step 3: Cross multiply
105,071.50x = 157,236 × 157,236 - Step 4: Simplify right side
105,071.50x = 24,723,159,696 - Step 5: Solve for x
x = 24,723,159,696/105,071.50 - Step 6: Final answer
x = 235,298.44
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.