Finding the Third Proportional to 104,085 and 164,655
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Solution
The third proportional to 104,085 and 164,655 is: 260,472.39
Step by Step Solution
- Step 1: Write the proportion equation
104,085 : 164,655 = 164,655 : x - Step 2: Convert to fraction form
104,085/164,655 = 164,655/x - Step 3: Cross multiply
104,085x = 164,655 × 164,655 - Step 4: Simplify right side
104,085x = 27,111,269,025 - Step 5: Solve for x
x = 27,111,269,025/104,085 - Step 6: Final answer
x = 260,472.39
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.