Finding the Third Proportional to 102,556 and 157,074
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Solution
The third proportional to 102,556 and 157,074 is: 240,573.36
Step by Step Solution
- Step 1: Write the proportion equation
102,556 : 157,074 = 157,074 : x - Step 2: Convert to fraction form
102,556/157,074 = 157,074/x - Step 3: Cross multiply
102,556x = 157,074 × 157,074 - Step 4: Simplify right side
102,556x = 24,672,241,476 - Step 5: Solve for x
x = 24,672,241,476/102,556 - Step 6: Final answer
x = 240,573.36
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.