Finding the Third Proportional to 78,466.50 and 114,054
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Solution
The third proportional to 78,466.50 and 114,054 is: 165,781.77
Step by Step Solution
- Step 1: Write the proportion equation
78,466.50 : 114,054 = 114,054 : x - Step 2: Convert to fraction form
78,466.50/114,054 = 114,054/x - Step 3: Cross multiply
78,466.50x = 114,054 × 114,054 - Step 4: Simplify right side
78,466.50x = 13,008,314,916 - Step 5: Solve for x
x = 13,008,314,916/78,466.50 - Step 6: Final answer
x = 165,781.77
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.