Finding the Third Proportional to 92,032 and 142,784
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Solution
The third proportional to 92,032 and 142,784 is: 221,523.72
Step by Step Solution
- Step 1: Write the proportion equation
92,032 : 142,784 = 142,784 : x - Step 2: Convert to fraction form
92,032/142,784 = 142,784/x - Step 3: Cross multiply
92,032x = 142,784 × 142,784 - Step 4: Simplify right side
92,032x = 20,387,270,656 - Step 5: Solve for x
x = 20,387,270,656/92,032 - Step 6: Final answer
x = 221,523.72
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.