Finding the Third Proportional to 75,720 and 164,656
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Solution
The third proportional to 75,720 and 164,656 is: 358,050.69
Step by Step Solution
- Step 1: Write the proportion equation
75,720 : 164,656 = 164,656 : x - Step 2: Convert to fraction form
75,720/164,656 = 164,656/x - Step 3: Cross multiply
75,720x = 164,656 × 164,656 - Step 4: Simplify right side
75,720x = 27,111,598,336 - Step 5: Solve for x
x = 27,111,598,336/75,720 - Step 6: Final answer
x = 358,050.69
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.