Finding the Third Proportional to 75,946.50 and 175,822.50
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Solution
The third proportional to 75,946.50 and 175,822.50 is: 407,043.79
Step by Step Solution
- Step 1: Write the proportion equation
75,946.50 : 175,822.50 = 175,822.50 : x - Step 2: Convert to fraction form
75,946.50/175,822.50 = 175,822.50/x - Step 3: Cross multiply
75,946.50x = 175,822.50 × 175,822.50 - Step 4: Simplify right side
75,946.50x = 30,913,551,506.25 - Step 5: Solve for x
x = 30,913,551,506.25/75,946.50 - Step 6: Final answer
x = 407,043.79
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.