Finding the Third Proportional to 109,196 and 146,735
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Solution
The third proportional to 109,196 and 146,735 is: 197,179.02
Step by Step Solution
- Step 1: Write the proportion equation
109,196 : 146,735 = 146,735 : x - Step 2: Convert to fraction form
109,196/146,735 = 146,735/x - Step 3: Cross multiply
109,196x = 146,735 × 146,735 - Step 4: Simplify right side
109,196x = 21,531,160,225 - Step 5: Solve for x
x = 21,531,160,225/109,196 - Step 6: Final answer
x = 197,179.02
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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.