Finding the Third Proportional to 49,536 and 106,752
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Solution
The third proportional to 49,536 and 106,752 is: 230,054.70
Step by Step Solution
- Step 1: Write the proportion equation
49,536 : 106,752 = 106,752 : x - Step 2: Convert to fraction form
49,536/106,752 = 106,752/x - Step 3: Cross multiply
49,536x = 106,752 × 106,752 - Step 4: Simplify right side
49,536x = 11,395,989,504 - Step 5: Solve for x
x = 11,395,989,504/49,536 - Step 6: Final answer
x = 230,054.70
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.