Finding the Third Proportional to 107,782 and 144,994
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Solution
The third proportional to 107,782 and 144,994 is: 195,053.53
Step by Step Solution
- Step 1: Write the proportion equation
107,782 : 144,994 = 144,994 : x - Step 2: Convert to fraction form
107,782/144,994 = 144,994/x - Step 3: Cross multiply
107,782x = 144,994 × 144,994 - Step 4: Simplify right side
107,782x = 21,023,260,036 - Step 5: Solve for x
x = 21,023,260,036/107,782 - Step 6: Final answer
x = 195,053.53
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.