Finding the Third Proportional to 103,098 and 150,942
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Solution
The third proportional to 103,098 and 150,942 is: 220,988.65
Step by Step Solution
- Step 1: Write the proportion equation
103,098 : 150,942 = 150,942 : x - Step 2: Convert to fraction form
103,098/150,942 = 150,942/x - Step 3: Cross multiply
103,098x = 150,942 × 150,942 - Step 4: Simplify right side
103,098x = 22,783,487,364 - Step 5: Solve for x
x = 22,783,487,364/103,098 - Step 6: Final answer
x = 220,988.65
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.