Finding the Third Proportional to 78,200 and 114,696
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Solution
The third proportional to 78,200 and 114,696 is: 168,224.71
Step by Step Solution
- Step 1: Write the proportion equation
78,200 : 114,696 = 114,696 : x - Step 2: Convert to fraction form
78,200/114,696 = 114,696/x - Step 3: Cross multiply
78,200x = 114,696 × 114,696 - Step 4: Simplify right side
78,200x = 13,155,172,416 - Step 5: Solve for x
x = 13,155,172,416/78,200 - Step 6: Final answer
x = 168,224.71
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.