Finding the Third Proportional to 45,547.75 and 106,382.75
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Solution
The third proportional to 45,547.75 and 106,382.75 is: 248,470.88
Step by Step Solution
- Step 1: Write the proportion equation
45,547.75 : 106,382.75 = 106,382.75 : x - Step 2: Convert to fraction form
45,547.75/106,382.75 = 106,382.75/x - Step 3: Cross multiply
45,547.75x = 106,382.75 × 106,382.75 - Step 4: Simplify right side
45,547.75x = 11,317,289,497.56 - Step 5: Solve for x
x = 11,317,289,497.56/45,547.75 - Step 6: Final answer
x = 248,470.88
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.