Finding the Third Proportional to 75,519 and 102,201.75
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Solution
The third proportional to 75,519 and 102,201.75 is: 138,312.18
Step by Step Solution
- Step 1: Write the proportion equation
75,519 : 102,201.75 = 102,201.75 : x - Step 2: Convert to fraction form
75,519/102,201.75 = 102,201.75/x - Step 3: Cross multiply
75,519x = 102,201.75 × 102,201.75 - Step 4: Simplify right side
75,519x = 10,445,197,703.06 - Step 5: Solve for x
x = 10,445,197,703.06/75,519 - Step 6: Final answer
x = 138,312.18
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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.