Finding the Third Proportional to 102,246.75 and 156,138.19
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Solution
The third proportional to 102,246.75 and 156,138.19 is: 238,434.31
Step by Step Solution
- Step 1: Write the proportion equation
102,246.75 : 156,138.19 = 156,138.19 : x - Step 2: Convert to fraction form
102,246.75/156,138.19 = 156,138.19/x - Step 3: Cross multiply
102,246.75x = 156,138.19 × 156,138.19 - Step 4: Simplify right side
102,246.75x = 24,379,133,595.79 - Step 5: Solve for x
x = 24,379,133,595.79/102,246.75 - Step 6: Final answer
x = 238,434.31
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.