Finding the Third Proportional to 65,949 and 97,693.50
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Solution
The third proportional to 65,949 and 97,693.50 is: 144,718.19
Step by Step Solution
- Step 1: Write the proportion equation
65,949 : 97,693.50 = 97,693.50 : x - Step 2: Convert to fraction form
65,949/97,693.50 = 97,693.50/x - Step 3: Cross multiply
65,949x = 97,693.50 × 97,693.50 - Step 4: Simplify right side
65,949x = 9,544,019,942.25 - Step 5: Solve for x
x = 9,544,019,942.25/65,949 - Step 6: Final answer
x = 144,718.19
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.