Finding the Third Proportional to 65,416 and 97,866
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Solution
The third proportional to 65,416 and 97,866 is: 146,413.02
Step by Step Solution
- Step 1: Write the proportion equation
65,416 : 97,866 = 97,866 : x - Step 2: Convert to fraction form
65,416/97,866 = 97,866/x - Step 3: Cross multiply
65,416x = 97,866 × 97,866 - Step 4: Simplify right side
65,416x = 9,577,753,956 - Step 5: Solve for x
x = 9,577,753,956/65,416 - Step 6: Final answer
x = 146,413.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.