Finding the Third Proportional to 48,098 and 102,756
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Solution
The third proportional to 48,098 and 102,756 is: 219,526.71
Step by Step Solution
- Step 1: Write the proportion equation
48,098 : 102,756 = 102,756 : x - Step 2: Convert to fraction form
48,098/102,756 = 102,756/x - Step 3: Cross multiply
48,098x = 102,756 × 102,756 - Step 4: Simplify right side
48,098x = 10,558,795,536 - Step 5: Solve for x
x = 10,558,795,536/48,098 - Step 6: Final answer
x = 219,526.71
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.