Finding the Third Proportional to 42,164 and 88,972
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Solution
The third proportional to 42,164 and 88,972 is: 187,743.50
Step by Step Solution
- Step 1: Write the proportion equation
42,164 : 88,972 = 88,972 : x - Step 2: Convert to fraction form
42,164/88,972 = 88,972/x - Step 3: Cross multiply
42,164x = 88,972 × 88,972 - Step 4: Simplify right side
42,164x = 7,916,016,784 - Step 5: Solve for x
x = 7,916,016,784/42,164 - Step 6: Final answer
x = 187,743.50
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.