Finding the Third Proportional to 103,005 and 159,408
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Solution
The third proportional to 103,005 and 159,408 is: 246,695.89
Step by Step Solution
- Step 1: Write the proportion equation
103,005 : 159,408 = 159,408 : x - Step 2: Convert to fraction form
103,005/159,408 = 159,408/x - Step 3: Cross multiply
103,005x = 159,408 × 159,408 - Step 4: Simplify right side
103,005x = 25,410,910,464 - Step 5: Solve for x
x = 25,410,910,464/103,005 - Step 6: Final answer
x = 246,695.89
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.