Finding the Third Proportional to 69,732 and 143,172
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Solution
The third proportional to 69,732 and 143,172 is: 293,957.17
Step by Step Solution
- Step 1: Write the proportion equation
69,732 : 143,172 = 143,172 : x - Step 2: Convert to fraction form
69,732/143,172 = 143,172/x - Step 3: Cross multiply
69,732x = 143,172 × 143,172 - Step 4: Simplify right side
69,732x = 20,498,221,584 - Step 5: Solve for x
x = 20,498,221,584/69,732 - Step 6: Final answer
x = 293,957.17
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.