Finding the Third Proportional to 51,098 and 111,700
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Solution
The third proportional to 51,098 and 111,700 is: 244,175.70
Step by Step Solution
- Step 1: Write the proportion equation
51,098 : 111,700 = 111,700 : x - Step 2: Convert to fraction form
51,098/111,700 = 111,700/x - Step 3: Cross multiply
51,098x = 111,700 × 111,700 - Step 4: Simplify right side
51,098x = 12,476,890,000 - Step 5: Solve for x
x = 12,476,890,000/51,098 - Step 6: Final answer
x = 244,175.70
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.