Finding the Third Proportional to 75,563 and 105,927
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Solution
The third proportional to 75,563 and 105,927 is: 148,492.37
Step by Step Solution
- Step 1: Write the proportion equation
75,563 : 105,927 = 105,927 : x - Step 2: Convert to fraction form
75,563/105,927 = 105,927/x - Step 3: Cross multiply
75,563x = 105,927 × 105,927 - Step 4: Simplify right side
75,563x = 11,220,529,329 - Step 5: Solve for x
x = 11,220,529,329/75,563 - Step 6: Final answer
x = 148,492.37
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.