Finding the Third Proportional to 42,533 and 92,849
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Solution
The third proportional to 42,533 and 92,849 is: 202,688.19
Step by Step Solution
- Step 1: Write the proportion equation
42,533 : 92,849 = 92,849 : x - Step 2: Convert to fraction form
42,533/92,849 = 92,849/x - Step 3: Cross multiply
42,533x = 92,849 × 92,849 - Step 4: Simplify right side
42,533x = 8,620,936,801 - Step 5: Solve for x
x = 8,620,936,801/42,533 - Step 6: Final answer
x = 202,688.19
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.