Finding the Third Proportional to 65,742 and 144,660
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Solution
The third proportional to 65,742 and 144,660 is: 318,312.73
Step by Step Solution
- Step 1: Write the proportion equation
65,742 : 144,660 = 144,660 : x - Step 2: Convert to fraction form
65,742/144,660 = 144,660/x - Step 3: Cross multiply
65,742x = 144,660 × 144,660 - Step 4: Simplify right side
65,742x = 20,926,515,600 - Step 5: Solve for x
x = 20,926,515,600/65,742 - Step 6: Final answer
x = 318,312.73
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.