Finding the Third Proportional to 74,142.84 and 114,901.03
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Solution
The third proportional to 74,142.84 and 114,901.03 is: 178,065.02
Step by Step Solution
- Step 1: Write the proportion equation
74,142.84 : 114,901.03 = 114,901.03 : x - Step 2: Convert to fraction form
74,142.84/114,901.03 = 114,901.03/x - Step 3: Cross multiply
74,142.84x = 114,901.03 × 114,901.03 - Step 4: Simplify right side
74,142.84x = 13,202,246,982.31 - Step 5: Solve for x
x = 13,202,246,982.31/74,142.84 - Step 6: Final answer
x = 178,065.02
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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.