Finding the Third Proportional to 97,504 and 142,563
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Solution
The third proportional to 97,504 and 142,563 is: 208,444.87
Step by Step Solution
- Step 1: Write the proportion equation
97,504 : 142,563 = 142,563 : x - Step 2: Convert to fraction form
97,504/142,563 = 142,563/x - Step 3: Cross multiply
97,504x = 142,563 × 142,563 - Step 4: Simplify right side
97,504x = 20,324,208,969 - Step 5: Solve for x
x = 20,324,208,969/97,504 - Step 6: Final answer
x = 208,444.87
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.