Finding the Third Proportional to 106,543.13 and 177,548.63
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Solution
The third proportional to 106,543.13 and 177,548.63 is: 295,875.63
Step by Step Solution
- Step 1: Write the proportion equation
106,543.13 : 177,548.63 = 177,548.63 : x - Step 2: Convert to fraction form
106,543.13/177,548.63 = 177,548.63/x - Step 3: Cross multiply
106,543.13x = 177,548.63 × 177,548.63 - Step 4: Simplify right side
106,543.13x = 31,523,514,239.39 - Step 5: Solve for x
x = 31,523,514,239.39/106,543.13 - Step 6: Final answer
x = 295,875.63
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.