Finding the Third Proportional to 61,824 and 133,503
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Solution
The third proportional to 61,824 and 133,503 is: 288,286.93
Step by Step Solution
- Step 1: Write the proportion equation
61,824 : 133,503 = 133,503 : x - Step 2: Convert to fraction form
61,824/133,503 = 133,503/x - Step 3: Cross multiply
61,824x = 133,503 × 133,503 - Step 4: Simplify right side
61,824x = 17,823,051,009 - Step 5: Solve for x
x = 17,823,051,009/61,824 - Step 6: Final answer
x = 288,286.93
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.