Finding the Third Proportional to 62,320 and 98,016
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Solution
The third proportional to 62,320 and 98,016 is: 154,158.16
Step by Step Solution
- Step 1: Write the proportion equation
62,320 : 98,016 = 98,016 : x - Step 2: Convert to fraction form
62,320/98,016 = 98,016/x - Step 3: Cross multiply
62,320x = 98,016 × 98,016 - Step 4: Simplify right side
62,320x = 9,607,136,256 - Step 5: Solve for x
x = 9,607,136,256/62,320 - Step 6: Final answer
x = 154,158.16
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.