Finding the Third Proportional to 51,153 and 109,413
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Solution
The third proportional to 51,153 and 109,413 is: 234,027.42
Step by Step Solution
- Step 1: Write the proportion equation
51,153 : 109,413 = 109,413 : x - Step 2: Convert to fraction form
51,153/109,413 = 109,413/x - Step 3: Cross multiply
51,153x = 109,413 × 109,413 - Step 4: Simplify right side
51,153x = 11,971,204,569 - Step 5: Solve for x
x = 11,971,204,569/51,153 - Step 6: Final answer
x = 234,027.42
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.