Finding the Third Proportional to 47,445 and 103,242
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Solution
The third proportional to 47,445 and 103,242 is: 224,658.25
Step by Step Solution
- Step 1: Write the proportion equation
47,445 : 103,242 = 103,242 : x - Step 2: Convert to fraction form
47,445/103,242 = 103,242/x - Step 3: Cross multiply
47,445x = 103,242 × 103,242 - Step 4: Simplify right side
47,445x = 10,658,910,564 - Step 5: Solve for x
x = 10,658,910,564/47,445 - Step 6: Final answer
x = 224,658.25
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.