Finding the Third Proportional to 75,697 and 156,253
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Solution
The third proportional to 75,697 and 156,253 is: 322,535.90
Step by Step Solution
- Step 1: Write the proportion equation
75,697 : 156,253 = 156,253 : x - Step 2: Convert to fraction form
75,697/156,253 = 156,253/x - Step 3: Cross multiply
75,697x = 156,253 × 156,253 - Step 4: Simplify right side
75,697x = 24,415,000,009 - Step 5: Solve for x
x = 24,415,000,009/75,697 - Step 6: Final answer
x = 322,535.90
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.