Finding the Third Proportional to 42,496 and 90,776
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Solution
The third proportional to 42,496 and 90,776 is: 193,907.24
Step by Step Solution
- Step 1: Write the proportion equation
42,496 : 90,776 = 90,776 : x - Step 2: Convert to fraction form
42,496/90,776 = 90,776/x - Step 3: Cross multiply
42,496x = 90,776 × 90,776 - Step 4: Simplify right side
42,496x = 8,240,282,176 - Step 5: Solve for x
x = 8,240,282,176/42,496 - Step 6: Final answer
x = 193,907.24
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.