Finding the Third Proportional to 67,724 and 103,172
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Solution
The third proportional to 67,724 and 103,172 is: 157,174.14
Step by Step Solution
- Step 1: Write the proportion equation
67,724 : 103,172 = 103,172 : x - Step 2: Convert to fraction form
67,724/103,172 = 103,172/x - Step 3: Cross multiply
67,724x = 103,172 × 103,172 - Step 4: Simplify right side
67,724x = 10,644,461,584 - Step 5: Solve for x
x = 10,644,461,584/67,724 - Step 6: Final answer
x = 157,174.14
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.