Finding the Third Proportional to 107,308 and 145,734
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Solution
The third proportional to 107,308 and 145,734 is: 197,919.99
Step by Step Solution
- Step 1: Write the proportion equation
107,308 : 145,734 = 145,734 : x - Step 2: Convert to fraction form
107,308/145,734 = 145,734/x - Step 3: Cross multiply
107,308x = 145,734 × 145,734 - Step 4: Simplify right side
107,308x = 21,238,398,756 - Step 5: Solve for x
x = 21,238,398,756/107,308 - Step 6: Final answer
x = 197,919.99
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.