Finding the Third Proportional to 78,099.75 and 112,743
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Solution
The third proportional to 78,099.75 and 112,743 is: 162,753.20
Step by Step Solution
- Step 1: Write the proportion equation
78,099.75 : 112,743 = 112,743 : x - Step 2: Convert to fraction form
78,099.75/112,743 = 112,743/x - Step 3: Cross multiply
78,099.75x = 112,743 × 112,743 - Step 4: Simplify right side
78,099.75x = 12,710,984,049 - Step 5: Solve for x
x = 12,710,984,049/78,099.75 - Step 6: Final answer
x = 162,753.20
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.