Finding the Third Proportional to 58,369.50 and 113,823
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Solution
The third proportional to 58,369.50 and 113,823 is: 221,959.68
Step by Step Solution
- Step 1: Write the proportion equation
58,369.50 : 113,823 = 113,823 : x - Step 2: Convert to fraction form
58,369.50/113,823 = 113,823/x - Step 3: Cross multiply
58,369.50x = 113,823 × 113,823 - Step 4: Simplify right side
58,369.50x = 12,955,675,329 - Step 5: Solve for x
x = 12,955,675,329/58,369.50 - Step 6: Final answer
x = 221,959.68
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.