Finding the Third Proportional to 78,760 and 170,642
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Solution
The third proportional to 78,760 and 170,642 is: 369,714.22
Step by Step Solution
- Step 1: Write the proportion equation
78,760 : 170,642 = 170,642 : x - Step 2: Convert to fraction form
78,760/170,642 = 170,642/x - Step 3: Cross multiply
78,760x = 170,642 × 170,642 - Step 4: Simplify right side
78,760x = 29,118,692,164 - Step 5: Solve for x
x = 29,118,692,164/78,760 - Step 6: Final answer
x = 369,714.22
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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.