Finding the Third Proportional to 51,282 and 109,863
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Solution
The third proportional to 51,282 and 109,863 is: 235,362.87
Step by Step Solution
- Step 1: Write the proportion equation
51,282 : 109,863 = 109,863 : x - Step 2: Convert to fraction form
51,282/109,863 = 109,863/x - Step 3: Cross multiply
51,282x = 109,863 × 109,863 - Step 4: Simplify right side
51,282x = 12,069,878,769 - Step 5: Solve for x
x = 12,069,878,769/51,282 - Step 6: Final answer
x = 235,362.87
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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.