Finding the Third Proportional to 67,986 and 147,270
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Solution
The third proportional to 67,986 and 147,270 is: 319,013.52
Step by Step Solution
- Step 1: Write the proportion equation
67,986 : 147,270 = 147,270 : x - Step 2: Convert to fraction form
67,986/147,270 = 147,270/x - Step 3: Cross multiply
67,986x = 147,270 × 147,270 - Step 4: Simplify right side
67,986x = 21,688,452,900 - Step 5: Solve for x
x = 21,688,452,900/67,986 - Step 6: Final answer
x = 319,013.52
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.