Finding the Third Proportional to 109,046 and 146,532
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Solution
The third proportional to 109,046 and 146,532 is: 196,904.31
Step by Step Solution
- Step 1: Write the proportion equation
109,046 : 146,532 = 146,532 : x - Step 2: Convert to fraction form
109,046/146,532 = 146,532/x - Step 3: Cross multiply
109,046x = 146,532 × 146,532 - Step 4: Simplify right side
109,046x = 21,471,627,024 - Step 5: Solve for x
x = 21,471,627,024/109,046 - Step 6: Final answer
x = 196,904.31
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.