Finding the Third Proportional to 42,718 and 67,107
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Solution
The third proportional to 42,718 and 67,107 is: 105,420.42
Step by Step Solution
- Step 1: Write the proportion equation
42,718 : 67,107 = 67,107 : x - Step 2: Convert to fraction form
42,718/67,107 = 67,107/x - Step 3: Cross multiply
42,718x = 67,107 × 67,107 - Step 4: Simplify right side
42,718x = 4,503,349,449 - Step 5: Solve for x
x = 4,503,349,449/42,718 - Step 6: Final answer
x = 105,420.42
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.