Finding the Third Proportional to 45,972 and 72,237
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Solution
The third proportional to 45,972 and 72,237 is: 113,507.88
Step by Step Solution
- Step 1: Write the proportion equation
45,972 : 72,237 = 72,237 : x - Step 2: Convert to fraction form
45,972/72,237 = 72,237/x - Step 3: Cross multiply
45,972x = 72,237 × 72,237 - Step 4: Simplify right side
45,972x = 5,218,184,169 - Step 5: Solve for x
x = 5,218,184,169/45,972 - Step 6: Final answer
x = 113,507.88
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.