Finding the Third Proportional to 78,454 and 120,037
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Solution
The third proportional to 78,454 and 120,037 is: 183,660.25
Step by Step Solution
- Step 1: Write the proportion equation
78,454 : 120,037 = 120,037 : x - Step 2: Convert to fraction form
78,454/120,037 = 120,037/x - Step 3: Cross multiply
78,454x = 120,037 × 120,037 - Step 4: Simplify right side
78,454x = 14,408,881,369 - Step 5: Solve for x
x = 14,408,881,369/78,454 - Step 6: Final answer
x = 183,660.25
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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.