Finding the Third Proportional to 53,282 and 78,195
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Solution
The third proportional to 53,282 and 78,195 is: 114,756.54
Step by Step Solution
- Step 1: Write the proportion equation
53,282 : 78,195 = 78,195 : x - Step 2: Convert to fraction form
53,282/78,195 = 78,195/x - Step 3: Cross multiply
53,282x = 78,195 × 78,195 - Step 4: Simplify right side
53,282x = 6,114,458,025 - Step 5: Solve for x
x = 6,114,458,025/53,282 - Step 6: Final answer
x = 114,756.54
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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.