Finding the Third Proportional to 97,408.50 and 132,000.75
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Solution
The third proportional to 97,408.50 and 132,000.75 is: 178,877.59
Step by Step Solution
- Step 1: Write the proportion equation
97,408.50 : 132,000.75 = 132,000.75 : x - Step 2: Convert to fraction form
97,408.50/132,000.75 = 132,000.75/x - Step 3: Cross multiply
97,408.50x = 132,000.75 × 132,000.75 - Step 4: Simplify right side
97,408.50x = 17,424,198,000.56 - Step 5: Solve for x
x = 17,424,198,000.56/97,408.50 - Step 6: Final answer
x = 178,877.59
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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.