Finding the Third Proportional to 85,648 and 130,494
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Solution
The third proportional to 85,648 and 130,494 is: 198,821.74
Step by Step Solution
- Step 1: Write the proportion equation
85,648 : 130,494 = 130,494 : x - Step 2: Convert to fraction form
85,648/130,494 = 130,494/x - Step 3: Cross multiply
85,648x = 130,494 × 130,494 - Step 4: Simplify right side
85,648x = 17,028,684,036 - Step 5: Solve for x
x = 17,028,684,036/85,648 - Step 6: Final answer
x = 198,821.74
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.