Finding the Third Proportional to 49,092.75 and 106,017.75
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Solution
The third proportional to 49,092.75 and 106,017.75 is: 228,949.56
Step by Step Solution
- Step 1: Write the proportion equation
49,092.75 : 106,017.75 = 106,017.75 : x - Step 2: Convert to fraction form
49,092.75/106,017.75 = 106,017.75/x - Step 3: Cross multiply
49,092.75x = 106,017.75 × 106,017.75 - Step 4: Simplify right side
49,092.75x = 11,239,763,315.06 - Step 5: Solve for x
x = 11,239,763,315.06/49,092.75 - Step 6: Final answer
x = 228,949.56
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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.