Finding the Third Proportional to 65,324 and 97,804
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Solution
The third proportional to 65,324 and 97,804 is: 146,433.51
Step by Step Solution
- Step 1: Write the proportion equation
65,324 : 97,804 = 97,804 : x - Step 2: Convert to fraction form
65,324/97,804 = 97,804/x - Step 3: Cross multiply
65,324x = 97,804 × 97,804 - Step 4: Simplify right side
65,324x = 9,565,622,416 - Step 5: Solve for x
x = 9,565,622,416/65,324 - Step 6: Final answer
x = 146,433.51
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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.