Finding the Third Proportional to 42,706 and 68,223
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Solution
The third proportional to 42,706 and 68,223 is: 108,986.51
Step by Step Solution
- Step 1: Write the proportion equation
42,706 : 68,223 = 68,223 : x - Step 2: Convert to fraction form
42,706/68,223 = 68,223/x - Step 3: Cross multiply
42,706x = 68,223 × 68,223 - Step 4: Simplify right side
42,706x = 4,654,377,729 - Step 5: Solve for x
x = 4,654,377,729/42,706 - Step 6: Final answer
x = 108,986.51
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.