Finding the Third Proportional to 75,576.38 and 164,968.13
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Solution
The third proportional to 75,576.38 and 164,968.13 is: 360,092.45
Step by Step Solution
- Step 1: Write the proportion equation
75,576.38 : 164,968.13 = 164,968.13 : x - Step 2: Convert to fraction form
75,576.38/164,968.13 = 164,968.13/x - Step 3: Cross multiply
75,576.38x = 164,968.13 × 164,968.13 - Step 4: Simplify right side
75,576.38x = 27,214,482,266.02 - Step 5: Solve for x
x = 27,214,482,266.02/75,576.38 - Step 6: Final answer
x = 360,092.45
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.