Finding the Third Proportional to 82,833.75 and 110,362
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Solution
The third proportional to 82,833.75 and 110,362 is: 147,038.75
Step by Step Solution
- Step 1: Write the proportion equation
82,833.75 : 110,362 = 110,362 : x - Step 2: Convert to fraction form
82,833.75/110,362 = 110,362/x - Step 3: Cross multiply
82,833.75x = 110,362 × 110,362 - Step 4: Simplify right side
82,833.75x = 12,179,771,044 - Step 5: Solve for x
x = 12,179,771,044/82,833.75 - Step 6: Final answer
x = 147,038.75
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.