Finding the Third Proportional to 75,829.75 and 165,036.75
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Solution
The third proportional to 75,829.75 and 165,036.75 is: 359,187.90
Step by Step Solution
- Step 1: Write the proportion equation
75,829.75 : 165,036.75 = 165,036.75 : x - Step 2: Convert to fraction form
75,829.75/165,036.75 = 165,036.75/x - Step 3: Cross multiply
75,829.75x = 165,036.75 × 165,036.75 - Step 4: Simplify right side
75,829.75x = 27,237,128,850.56 - Step 5: Solve for x
x = 27,237,128,850.56/75,829.75 - Step 6: Final answer
x = 359,187.90
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.