Finding the Third Proportional to 85,112 and 114,492
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Solution
The third proportional to 85,112 and 114,492 is: 154,013.75
Step by Step Solution
- Step 1: Write the proportion equation
85,112 : 114,492 = 114,492 : x - Step 2: Convert to fraction form
85,112/114,492 = 114,492/x - Step 3: Cross multiply
85,112x = 114,492 × 114,492 - Step 4: Simplify right side
85,112x = 13,108,418,064 - Step 5: Solve for x
x = 13,108,418,064/85,112 - Step 6: Final answer
x = 154,013.75
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.