Finding the Third Proportional to 105,230 and 157,965
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Solution
The third proportional to 105,230 and 157,965 is: 237,127.64
Step by Step Solution
- Step 1: Write the proportion equation
105,230 : 157,965 = 157,965 : x - Step 2: Convert to fraction form
105,230/157,965 = 157,965/x - Step 3: Cross multiply
105,230x = 157,965 × 157,965 - Step 4: Simplify right side
105,230x = 24,952,941,225 - Step 5: Solve for x
x = 24,952,941,225/105,230 - Step 6: Final answer
x = 237,127.64
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.