Finding the Third Proportional to 75,528 and 165,968
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Solution
The third proportional to 75,528 and 165,968 is: 364,704.18
Step by Step Solution
- Step 1: Write the proportion equation
75,528 : 165,968 = 165,968 : x - Step 2: Convert to fraction form
75,528/165,968 = 165,968/x - Step 3: Cross multiply
75,528x = 165,968 × 165,968 - Step 4: Simplify right side
75,528x = 27,545,377,024 - Step 5: Solve for x
x = 27,545,377,024/75,528 - Step 6: Final answer
x = 364,704.18
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.