Finding the Third Proportional to 42,202 and 65,895
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Solution
The third proportional to 42,202 and 65,895 is: 102,889.70
Step by Step Solution
- Step 1: Write the proportion equation
42,202 : 65,895 = 65,895 : x - Step 2: Convert to fraction form
42,202/65,895 = 65,895/x - Step 3: Cross multiply
42,202x = 65,895 × 65,895 - Step 4: Simplify right side
42,202x = 4,342,151,025 - Step 5: Solve for x
x = 4,342,151,025/42,202 - Step 6: Final answer
x = 102,889.70
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.