Finding the Third Proportional to 102,515.63 and 149,262.75
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Solution
The third proportional to 102,515.63 and 149,262.75 is: 217,326.56
Step by Step Solution
- Step 1: Write the proportion equation
102,515.63 : 149,262.75 = 149,262.75 : x - Step 2: Convert to fraction form
102,515.63/149,262.75 = 149,262.75/x - Step 3: Cross multiply
102,515.63x = 149,262.75 × 149,262.75 - Step 4: Simplify right side
102,515.63x = 22,279,368,537.56 - Step 5: Solve for x
x = 22,279,368,537.56/102,515.63 - Step 6: Final answer
x = 217,326.56
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.