Finding the Third Proportional to 72,236 and 102,978
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Solution
The third proportional to 72,236 and 102,978 is: 146,803.10
Step by Step Solution
- Step 1: Write the proportion equation
72,236 : 102,978 = 102,978 : x - Step 2: Convert to fraction form
72,236/102,978 = 102,978/x - Step 3: Cross multiply
72,236x = 102,978 × 102,978 - Step 4: Simplify right side
72,236x = 10,604,468,484 - Step 5: Solve for x
x = 10,604,468,484/72,236 - Step 6: Final answer
x = 146,803.10
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.