Finding the Third Proportional to 109,452 and 232,083
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Solution
The third proportional to 109,452 and 232,083 is: 492,110.87
Step by Step Solution
- Step 1: Write the proportion equation
109,452 : 232,083 = 232,083 : x - Step 2: Convert to fraction form
109,452/232,083 = 232,083/x - Step 3: Cross multiply
109,452x = 232,083 × 232,083 - Step 4: Simplify right side
109,452x = 53,862,518,889 - Step 5: Solve for x
x = 53,862,518,889/109,452 - Step 6: Final answer
x = 492,110.87
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.