Finding the Third Proportional to 72,775 and 109,433
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Solution
The third proportional to 72,775 and 109,433 is: 164,556.26
Step by Step Solution
- Step 1: Write the proportion equation
72,775 : 109,433 = 109,433 : x - Step 2: Convert to fraction form
72,775/109,433 = 109,433/x - Step 3: Cross multiply
72,775x = 109,433 × 109,433 - Step 4: Simplify right side
72,775x = 11,975,581,489 - Step 5: Solve for x
x = 11,975,581,489/72,775 - Step 6: Final answer
x = 164,556.26
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.