Finding the Third Proportional to 96,845 and 142,312
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Solution
The third proportional to 96,845 and 142,312 is: 209,124.95
Step by Step Solution
- Step 1: Write the proportion equation
96,845 : 142,312 = 142,312 : x - Step 2: Convert to fraction form
96,845/142,312 = 142,312/x - Step 3: Cross multiply
96,845x = 142,312 × 142,312 - Step 4: Simplify right side
96,845x = 20,252,705,344 - Step 5: Solve for x
x = 20,252,705,344/96,845 - Step 6: Final answer
x = 209,124.95
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.