Finding the Third Proportional to 42,042 and 65,099
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Solution
The third proportional to 42,042 and 65,099 is: 100,801.10
Step by Step Solution
- Step 1: Write the proportion equation
42,042 : 65,099 = 65,099 : x - Step 2: Convert to fraction form
42,042/65,099 = 65,099/x - Step 3: Cross multiply
42,042x = 65,099 × 65,099 - Step 4: Simplify right side
42,042x = 4,237,879,801 - Step 5: Solve for x
x = 4,237,879,801/42,042 - Step 6: Final answer
x = 100,801.10
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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.