Finding the Third Proportional to 42,282 and 98,320.50
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Solution
The third proportional to 42,282 and 98,320.50 is: 228,629.69
Step by Step Solution
- Step 1: Write the proportion equation
42,282 : 98,320.50 = 98,320.50 : x - Step 2: Convert to fraction form
42,282/98,320.50 = 98,320.50/x - Step 3: Cross multiply
42,282x = 98,320.50 × 98,320.50 - Step 4: Simplify right side
42,282x = 9,666,920,720.25 - Step 5: Solve for x
x = 9,666,920,720.25/42,282 - Step 6: Final answer
x = 228,629.69
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.