Finding the Third Proportional to 65,430 and 141,924
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Solution
The third proportional to 65,430 and 141,924 is: 307,846.89
Step by Step Solution
- Step 1: Write the proportion equation
65,430 : 141,924 = 141,924 : x - Step 2: Convert to fraction form
65,430/141,924 = 141,924/x - Step 3: Cross multiply
65,430x = 141,924 × 141,924 - Step 4: Simplify right side
65,430x = 20,142,421,776 - Step 5: Solve for x
x = 20,142,421,776/65,430 - Step 6: Final answer
x = 307,846.89
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.