Finding the Third Proportional to 76,029.75 and 114,045.75
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Solution
The third proportional to 76,029.75 and 114,045.75 is: 171,070.31
Step by Step Solution
- Step 1: Write the proportion equation
76,029.75 : 114,045.75 = 114,045.75 : x - Step 2: Convert to fraction form
76,029.75/114,045.75 = 114,045.75/x - Step 3: Cross multiply
76,029.75x = 114,045.75 × 114,045.75 - Step 4: Simplify right side
76,029.75x = 13,006,433,093.06 - Step 5: Solve for x
x = 13,006,433,093.06/76,029.75 - Step 6: Final answer
x = 171,070.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.