Finding the Third Proportional to 45,998 and 100,420
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Solution
The third proportional to 45,998 and 100,420 is: 219,230.76
Step by Step Solution
- Step 1: Write the proportion equation
45,998 : 100,420 = 100,420 : x - Step 2: Convert to fraction form
45,998/100,420 = 100,420/x - Step 3: Cross multiply
45,998x = 100,420 × 100,420 - Step 4: Simplify right side
45,998x = 10,084,176,400 - Step 5: Solve for x
x = 10,084,176,400/45,998 - Step 6: Final answer
x = 219,230.76
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.