Finding the Third Proportional to 105,240 and 157,980
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Solution
The third proportional to 105,240 and 157,980 is: 237,150.14
Step by Step Solution
- Step 1: Write the proportion equation
105,240 : 157,980 = 157,980 : x - Step 2: Convert to fraction form
105,240/157,980 = 157,980/x - Step 3: Cross multiply
105,240x = 157,980 × 157,980 - Step 4: Simplify right side
105,240x = 24,957,680,400 - Step 5: Solve for x
x = 24,957,680,400/105,240 - Step 6: Final answer
x = 237,150.14
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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.