Finding the Third Proportional to 105,076 and 160,756
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Solution
The third proportional to 105,076 and 160,756 is: 245,940.95
Step by Step Solution
- Step 1: Write the proportion equation
105,076 : 160,756 = 160,756 : x - Step 2: Convert to fraction form
105,076/160,756 = 160,756/x - Step 3: Cross multiply
105,076x = 160,756 × 160,756 - Step 4: Simplify right side
105,076x = 25,842,491,536 - Step 5: Solve for x
x = 25,842,491,536/105,076 - Step 6: Final answer
x = 245,940.95
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.