Finding the Third Proportional to 65,242 and 98,007
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Solution
The third proportional to 65,242 and 98,007 is: 147,226.82
Step by Step Solution
- Step 1: Write the proportion equation
65,242 : 98,007 = 98,007 : x - Step 2: Convert to fraction form
65,242/98,007 = 98,007/x - Step 3: Cross multiply
65,242x = 98,007 × 98,007 - Step 4: Simplify right side
65,242x = 9,605,372,049 - Step 5: Solve for x
x = 9,605,372,049/65,242 - Step 6: Final answer
x = 147,226.82
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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.