Finding the Third Proportional to 78,484 and 120,030
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Solution
The third proportional to 78,484 and 120,030 is: 183,568.64
Step by Step Solution
- Step 1: Write the proportion equation
78,484 : 120,030 = 120,030 : x - Step 2: Convert to fraction form
78,484/120,030 = 120,030/x - Step 3: Cross multiply
78,484x = 120,030 × 120,030 - Step 4: Simplify right side
78,484x = 14,407,200,900 - Step 5: Solve for x
x = 14,407,200,900/78,484 - Step 6: Final answer
x = 183,568.64
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.