Finding the Third Proportional to 81,216 and 123,408
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Solution
The third proportional to 81,216 and 123,408 is: 187,518.89
Step by Step Solution
- Step 1: Write the proportion equation
81,216 : 123,408 = 123,408 : x - Step 2: Convert to fraction form
81,216/123,408 = 123,408/x - Step 3: Cross multiply
81,216x = 123,408 × 123,408 - Step 4: Simplify right side
81,216x = 15,229,534,464 - Step 5: Solve for x
x = 15,229,534,464/81,216 - Step 6: Final answer
x = 187,518.89
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.