Finding the Third Proportional to 55,786 and 78,206
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Solution
The third proportional to 55,786 and 78,206 is: 109,636.44
Step by Step Solution
- Step 1: Write the proportion equation
55,786 : 78,206 = 78,206 : x - Step 2: Convert to fraction form
55,786/78,206 = 78,206/x - Step 3: Cross multiply
55,786x = 78,206 × 78,206 - Step 4: Simplify right side
55,786x = 6,116,178,436 - Step 5: Solve for x
x = 6,116,178,436/55,786 - Step 6: Final answer
x = 109,636.44
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.