Finding the Third Proportional to 102,993 and 147,000
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Solution
The third proportional to 102,993 and 147,000 is: 209,810.38
Step by Step Solution
- Step 1: Write the proportion equation
102,993 : 147,000 = 147,000 : x - Step 2: Convert to fraction form
102,993/147,000 = 147,000/x - Step 3: Cross multiply
102,993x = 147,000 × 147,000 - Step 4: Simplify right side
102,993x = 21,609,000,000 - Step 5: Solve for x
x = 21,609,000,000/102,993 - Step 6: Final answer
x = 209,810.38
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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.