Finding the Third Proportional to 54,702 and 89,316
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Solution
The third proportional to 54,702 and 89,316 is: 145,832.84
Step by Step Solution
- Step 1: Write the proportion equation
54,702 : 89,316 = 89,316 : x - Step 2: Convert to fraction form
54,702/89,316 = 89,316/x - Step 3: Cross multiply
54,702x = 89,316 × 89,316 - Step 4: Simplify right side
54,702x = 7,977,347,856 - Step 5: Solve for x
x = 7,977,347,856/54,702 - Step 6: Final answer
x = 145,832.84
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.