Finding the Third Proportional to 84,756 and 114,978
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Solution
The third proportional to 84,756 and 114,978 is: 155,976.46
Step by Step Solution
- Step 1: Write the proportion equation
84,756 : 114,978 = 114,978 : x - Step 2: Convert to fraction form
84,756/114,978 = 114,978/x - Step 3: Cross multiply
84,756x = 114,978 × 114,978 - Step 4: Simplify right side
84,756x = 13,219,940,484 - Step 5: Solve for x
x = 13,219,940,484/84,756 - Step 6: Final answer
x = 155,976.46
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.