Finding the Third Proportional to 42,156 and 97,596
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Solution
The third proportional to 42,156 and 97,596 is: 225,945.99
Step by Step Solution
- Step 1: Write the proportion equation
42,156 : 97,596 = 97,596 : x - Step 2: Convert to fraction form
42,156/97,596 = 97,596/x - Step 3: Cross multiply
42,156x = 97,596 × 97,596 - Step 4: Simplify right side
42,156x = 9,524,979,216 - Step 5: Solve for x
x = 9,524,979,216/42,156 - Step 6: Final answer
x = 225,945.99
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.