Finding the Third Proportional to 78,397.50 and 118,326
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Solution
The third proportional to 78,397.50 and 118,326 is: 178,590.42
Step by Step Solution
- Step 1: Write the proportion equation
78,397.50 : 118,326 = 118,326 : x - Step 2: Convert to fraction form
78,397.50/118,326 = 118,326/x - Step 3: Cross multiply
78,397.50x = 118,326 × 118,326 - Step 4: Simplify right side
78,397.50x = 14,001,042,276 - Step 5: Solve for x
x = 14,001,042,276/78,397.50 - Step 6: Final answer
x = 178,590.42
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.