Finding the Third Proportional to 72,857 and 98,429
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Solution
The third proportional to 72,857 and 98,429 is: 132,976.49
Step by Step Solution
- Step 1: Write the proportion equation
72,857 : 98,429 = 98,429 : x - Step 2: Convert to fraction form
72,857/98,429 = 98,429/x - Step 3: Cross multiply
72,857x = 98,429 × 98,429 - Step 4: Simplify right side
72,857x = 9,688,268,041 - Step 5: Solve for x
x = 9,688,268,041/72,857 - Step 6: Final answer
x = 132,976.49
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.