Finding the Third Proportional to 96,056 and 140,970
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Solution
The third proportional to 96,056 and 140,970 is: 206,884.95
Step by Step Solution
- Step 1: Write the proportion equation
96,056 : 140,970 = 140,970 : x - Step 2: Convert to fraction form
96,056/140,970 = 140,970/x - Step 3: Cross multiply
96,056x = 140,970 × 140,970 - Step 4: Simplify right side
96,056x = 19,872,540,900 - Step 5: Solve for x
x = 19,872,540,900/96,056 - Step 6: Final answer
x = 206,884.95
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.