Finding the Third Proportional to 78,842 and 121,197
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Solution
The third proportional to 78,842 and 121,197 is: 186,305.68
Step by Step Solution
- Step 1: Write the proportion equation
78,842 : 121,197 = 121,197 : x - Step 2: Convert to fraction form
78,842/121,197 = 121,197/x - Step 3: Cross multiply
78,842x = 121,197 × 121,197 - Step 4: Simplify right side
78,842x = 14,688,712,809 - Step 5: Solve for x
x = 14,688,712,809/78,842 - Step 6: Final answer
x = 186,305.68
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.