Finding the Third Proportional to 101,997 and 146,929
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Solution
The third proportional to 101,997 and 146,929 is: 211,654.57
Step by Step Solution
- Step 1: Write the proportion equation
101,997 : 146,929 = 146,929 : x - Step 2: Convert to fraction form
101,997/146,929 = 146,929/x - Step 3: Cross multiply
101,997x = 146,929 × 146,929 - Step 4: Simplify right side
101,997x = 21,588,131,041 - Step 5: Solve for x
x = 21,588,131,041/101,997 - Step 6: Final answer
x = 211,654.57
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.