Finding the Third Proportional to 65,703 and 142,503
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Solution
The third proportional to 65,703 and 142,503 is: 309,074.24
Step by Step Solution
- Step 1: Write the proportion equation
65,703 : 142,503 = 142,503 : x - Step 2: Convert to fraction form
65,703/142,503 = 142,503/x - Step 3: Cross multiply
65,703x = 142,503 × 142,503 - Step 4: Simplify right side
65,703x = 20,307,105,009 - Step 5: Solve for x
x = 20,307,105,009/65,703 - Step 6: Final answer
x = 309,074.24
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.