Finding the Third Proportional to 42,095 and 70,149
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Solution
The third proportional to 42,095 and 70,149 is: 116,899.45
Step by Step Solution
- Step 1: Write the proportion equation
42,095 : 70,149 = 70,149 : x - Step 2: Convert to fraction form
42,095/70,149 = 70,149/x - Step 3: Cross multiply
42,095x = 70,149 × 70,149 - Step 4: Simplify right side
42,095x = 4,920,882,201 - Step 5: Solve for x
x = 4,920,882,201/42,095 - Step 6: Final answer
x = 116,899.45
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.