Finding the Third Proportional to 74,772 and 114,428
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Solution
The third proportional to 74,772 and 114,428 is: 175,115.91
Step by Step Solution
- Step 1: Write the proportion equation
74,772 : 114,428 = 114,428 : x - Step 2: Convert to fraction form
74,772/114,428 = 114,428/x - Step 3: Cross multiply
74,772x = 114,428 × 114,428 - Step 4: Simplify right side
74,772x = 13,093,767,184 - Step 5: Solve for x
x = 13,093,767,184/74,772 - Step 6: Final answer
x = 175,115.91
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.