Finding the Third Proportional to 75,552.75 and 102,242.25
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Solution
The third proportional to 75,552.75 and 102,242.25 is: 138,359.99
Step by Step Solution
- Step 1: Write the proportion equation
75,552.75 : 102,242.25 = 102,242.25 : x - Step 2: Convert to fraction form
75,552.75/102,242.25 = 102,242.25/x - Step 3: Cross multiply
75,552.75x = 102,242.25 × 102,242.25 - Step 4: Simplify right side
75,552.75x = 10,453,477,685.06 - Step 5: Solve for x
x = 10,453,477,685.06/75,552.75 - Step 6: Final answer
x = 138,359.99
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.