Finding the Third Proportional to 70,281 and 111,678
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Solution
The third proportional to 70,281 and 111,678 is: 177,458.71
Step by Step Solution
- Step 1: Write the proportion equation
70,281 : 111,678 = 111,678 : x - Step 2: Convert to fraction form
70,281/111,678 = 111,678/x - Step 3: Cross multiply
70,281x = 111,678 × 111,678 - Step 4: Simplify right side
70,281x = 12,471,975,684 - Step 5: Solve for x
x = 12,471,975,684/70,281 - Step 6: Final answer
x = 177,458.71
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.