Finding the Third Proportional to 106,122.75 and 157,740.75
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Solution
The third proportional to 106,122.75 and 157,740.75 is: 234,465.69
Step by Step Solution
- Step 1: Write the proportion equation
106,122.75 : 157,740.75 = 157,740.75 : x - Step 2: Convert to fraction form
106,122.75/157,740.75 = 157,740.75/x - Step 3: Cross multiply
106,122.75x = 157,740.75 × 157,740.75 - Step 4: Simplify right side
106,122.75x = 24,882,144,210.56 - Step 5: Solve for x
x = 24,882,144,210.56/106,122.75 - Step 6: Final answer
x = 234,465.69
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.