Finding the Third Proportional to 42,780 and 99,952
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Solution
The third proportional to 42,780 and 99,952 is: 233,529.74
Step by Step Solution
- Step 1: Write the proportion equation
42,780 : 99,952 = 99,952 : x - Step 2: Convert to fraction form
42,780/99,952 = 99,952/x - Step 3: Cross multiply
42,780x = 99,952 × 99,952 - Step 4: Simplify right side
42,780x = 9,990,402,304 - Step 5: Solve for x
x = 9,990,402,304/42,780 - Step 6: Final answer
x = 233,529.74
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.