Finding the Third Proportional to 45,709 and 101,921
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Solution
The third proportional to 45,709 and 101,921 is: 227,261.38
Step by Step Solution
- Step 1: Write the proportion equation
45,709 : 101,921 = 101,921 : x - Step 2: Convert to fraction form
45,709/101,921 = 101,921/x - Step 3: Cross multiply
45,709x = 101,921 × 101,921 - Step 4: Simplify right side
45,709x = 10,387,890,241 - Step 5: Solve for x
x = 10,387,890,241/45,709 - Step 6: Final answer
x = 227,261.38
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.