Finding the Third Proportional to 83,431.50 and 129,294
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Solution
The third proportional to 83,431.50 and 129,294 is: 200,367.23
Step by Step Solution
- Step 1: Write the proportion equation
83,431.50 : 129,294 = 129,294 : x - Step 2: Convert to fraction form
83,431.50/129,294 = 129,294/x - Step 3: Cross multiply
83,431.50x = 129,294 × 129,294 - Step 4: Simplify right side
83,431.50x = 16,716,938,436 - Step 5: Solve for x
x = 16,716,938,436/83,431.50 - Step 6: Final answer
x = 200,367.23
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.