Finding the Third Proportional to 109,776 and 149,094
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Solution
The third proportional to 109,776 and 149,094 is: 202,494.36
Step by Step Solution
- Step 1: Write the proportion equation
109,776 : 149,094 = 149,094 : x - Step 2: Convert to fraction form
109,776/149,094 = 149,094/x - Step 3: Cross multiply
109,776x = 149,094 × 149,094 - Step 4: Simplify right side
109,776x = 22,229,020,836 - Step 5: Solve for x
x = 22,229,020,836/109,776 - Step 6: Final answer
x = 202,494.36
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.