Finding the Third Proportional to 112,745.50 and 178,395
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Solution
The third proportional to 112,745.50 and 178,395 is: 282,270.92
Step by Step Solution
- Step 1: Write the proportion equation
112,745.50 : 178,395 = 178,395 : x - Step 2: Convert to fraction form
112,745.50/178,395 = 178,395/x - Step 3: Cross multiply
112,745.50x = 178,395 × 178,395 - Step 4: Simplify right side
112,745.50x = 31,824,776,025 - Step 5: Solve for x
x = 31,824,776,025/112,745.50 - Step 6: Final answer
x = 282,270.92
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.