Finding the Third Proportional to 74,224 and 114,952
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Solution
The third proportional to 74,224 and 114,952 is: 178,028.16
Step by Step Solution
- Step 1: Write the proportion equation
74,224 : 114,952 = 114,952 : x - Step 2: Convert to fraction form
74,224/114,952 = 114,952/x - Step 3: Cross multiply
74,224x = 114,952 × 114,952 - Step 4: Simplify right side
74,224x = 13,213,962,304 - Step 5: Solve for x
x = 13,213,962,304/74,224 - Step 6: Final answer
x = 178,028.16
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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.