Finding the Third Proportional to 65,446 and 105,002.75
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Solution
The third proportional to 65,446 and 105,002.75 is: 168,468.32
Step by Step Solution
- Step 1: Write the proportion equation
65,446 : 105,002.75 = 105,002.75 : x - Step 2: Convert to fraction form
65,446/105,002.75 = 105,002.75/x - Step 3: Cross multiply
65,446x = 105,002.75 × 105,002.75 - Step 4: Simplify right side
65,446x = 11,025,577,507.56 - Step 5: Solve for x
x = 11,025,577,507.56/65,446 - Step 6: Final answer
x = 168,468.32
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.