Finding the Third Proportional to 96,865 and 145,395
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Solution
The third proportional to 96,865 and 145,395 is: 218,238.85
Step by Step Solution
- Step 1: Write the proportion equation
96,865 : 145,395 = 145,395 : x - Step 2: Convert to fraction form
96,865/145,395 = 145,395/x - Step 3: Cross multiply
96,865x = 145,395 × 145,395 - Step 4: Simplify right side
96,865x = 21,139,706,025 - Step 5: Solve for x
x = 21,139,706,025/96,865 - Step 6: Final answer
x = 218,238.85
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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.