Finding the Third Proportional to 73,278 and 113,742
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Solution
The third proportional to 73,278 and 113,742 is: 176,550.16
Step by Step Solution
- Step 1: Write the proportion equation
73,278 : 113,742 = 113,742 : x - Step 2: Convert to fraction form
73,278/113,742 = 113,742/x - Step 3: Cross multiply
73,278x = 113,742 × 113,742 - Step 4: Simplify right side
73,278x = 12,937,242,564 - Step 5: Solve for x
x = 12,937,242,564/73,278 - Step 6: Final answer
x = 176,550.16
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.