Finding the Third Proportional to 49,300 and 105,656
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Solution
The third proportional to 49,300 and 105,656 is: 226,433.88
Step by Step Solution
- Step 1: Write the proportion equation
49,300 : 105,656 = 105,656 : x - Step 2: Convert to fraction form
49,300/105,656 = 105,656/x - Step 3: Cross multiply
49,300x = 105,656 × 105,656 - Step 4: Simplify right side
49,300x = 11,163,190,336 - Step 5: Solve for x
x = 11,163,190,336/49,300 - Step 6: Final answer
x = 226,433.88
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.