Finding the Third Proportional to 72,412 and 103,758
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Solution
The third proportional to 72,412 and 103,758 is: 148,673.18
Step by Step Solution
- Step 1: Write the proportion equation
72,412 : 103,758 = 103,758 : x - Step 2: Convert to fraction form
72,412/103,758 = 103,758/x - Step 3: Cross multiply
72,412x = 103,758 × 103,758 - Step 4: Simplify right side
72,412x = 10,765,722,564 - Step 5: Solve for x
x = 10,765,722,564/72,412 - Step 6: Final answer
x = 148,673.18
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.