Finding the Third Proportional to 69,726 and 102,942
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Solution
The third proportional to 69,726 and 102,942 is: 151,981.40
Step by Step Solution
- Step 1: Write the proportion equation
69,726 : 102,942 = 102,942 : x - Step 2: Convert to fraction form
69,726/102,942 = 102,942/x - Step 3: Cross multiply
69,726x = 102,942 × 102,942 - Step 4: Simplify right side
69,726x = 10,597,055,364 - Step 5: Solve for x
x = 10,597,055,364/69,726 - Step 6: Final answer
x = 151,981.40
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.