Finding the Third Proportional to 53,696.25 and 106,037.02
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Solution
The third proportional to 53,696.25 and 106,037.02 is: 209,397.28
Step by Step Solution
- Step 1: Write the proportion equation
53,696.25 : 106,037.02 = 106,037.02 : x - Step 2: Convert to fraction form
53,696.25/106,037.02 = 106,037.02/x - Step 3: Cross multiply
53,696.25x = 106,037.02 × 106,037.02 - Step 4: Simplify right side
53,696.25x = 11,243,848,682.66 - Step 5: Solve for x
x = 11,243,848,682.66/53,696.25 - Step 6: Final answer
x = 209,397.28
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.