Finding the Third Proportional to 42,014 and 98,960
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Solution
The third proportional to 42,014 and 98,960 is: 233,090.91
Step by Step Solution
- Step 1: Write the proportion equation
42,014 : 98,960 = 98,960 : x - Step 2: Convert to fraction form
42,014/98,960 = 98,960/x - Step 3: Cross multiply
42,014x = 98,960 × 98,960 - Step 4: Simplify right side
42,014x = 9,793,081,600 - Step 5: Solve for x
x = 9,793,081,600/42,014 - Step 6: Final answer
x = 233,090.91
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.