Finding the Third Proportional to 77,923 and 111,046
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Solution
The third proportional to 77,923 and 111,046 is: 158,248.71
Step by Step Solution
- Step 1: Write the proportion equation
77,923 : 111,046 = 111,046 : x - Step 2: Convert to fraction form
77,923/111,046 = 111,046/x - Step 3: Cross multiply
77,923x = 111,046 × 111,046 - Step 4: Simplify right side
77,923x = 12,331,214,116 - Step 5: Solve for x
x = 12,331,214,116/77,923 - Step 6: Final answer
x = 158,248.71
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.