Finding the Third Proportional to 105,765 and 161,997
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Solution
The third proportional to 105,765 and 161,997 is: 248,125.83
Step by Step Solution
- Step 1: Write the proportion equation
105,765 : 161,997 = 161,997 : x - Step 2: Convert to fraction form
105,765/161,997 = 161,997/x - Step 3: Cross multiply
105,765x = 161,997 × 161,997 - Step 4: Simplify right side
105,765x = 26,243,028,009 - Step 5: Solve for x
x = 26,243,028,009/105,765 - Step 6: Final answer
x = 248,125.83
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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.