Finding the Third Proportional to 105,430 and 154,418
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Solution
The third proportional to 105,430 and 154,418 is: 226,168.25
Step by Step Solution
- Step 1: Write the proportion equation
105,430 : 154,418 = 154,418 : x - Step 2: Convert to fraction form
105,430/154,418 = 154,418/x - Step 3: Cross multiply
105,430x = 154,418 × 154,418 - Step 4: Simplify right side
105,430x = 23,844,918,724 - Step 5: Solve for x
x = 23,844,918,724/105,430 - Step 6: Final answer
x = 226,168.25
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.