Finding the Third Proportional to 72,749 and 109,772
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Solution
The third proportional to 72,749 and 109,772 is: 165,636.53
Step by Step Solution
- Step 1: Write the proportion equation
72,749 : 109,772 = 109,772 : x - Step 2: Convert to fraction form
72,749/109,772 = 109,772/x - Step 3: Cross multiply
72,749x = 109,772 × 109,772 - Step 4: Simplify right side
72,749x = 12,049,891,984 - Step 5: Solve for x
x = 12,049,891,984/72,749 - Step 6: Final answer
x = 165,636.53
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.