Finding the Third Proportional to 65,522 and 98,171
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Solution
The third proportional to 65,522 and 98,171 is: 147,088.69
Step by Step Solution
- Step 1: Write the proportion equation
65,522 : 98,171 = 98,171 : x - Step 2: Convert to fraction form
65,522/98,171 = 98,171/x - Step 3: Cross multiply
65,522x = 98,171 × 98,171 - Step 4: Simplify right side
65,522x = 9,637,545,241 - Step 5: Solve for x
x = 9,637,545,241/65,522 - Step 6: Final answer
x = 147,088.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.