Finding the Third Proportional to 66,000 and 102,264
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Solution
The third proportional to 66,000 and 102,264 is: 158,453.42
Step by Step Solution
- Step 1: Write the proportion equation
66,000 : 102,264 = 102,264 : x - Step 2: Convert to fraction form
66,000/102,264 = 102,264/x - Step 3: Cross multiply
66,000x = 102,264 × 102,264 - Step 4: Simplify right side
66,000x = 10,457,925,696 - Step 5: Solve for x
x = 10,457,925,696/66,000 - Step 6: Final answer
x = 158,453.42
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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.