Finding the Third Proportional to 46,672.50 and 102,417.50
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Solution
The third proportional to 46,672.50 and 102,417.50 is: 224,743.57
Step by Step Solution
- Step 1: Write the proportion equation
46,672.50 : 102,417.50 = 102,417.50 : x - Step 2: Convert to fraction form
46,672.50/102,417.50 = 102,417.50/x - Step 3: Cross multiply
46,672.50x = 102,417.50 × 102,417.50 - Step 4: Simplify right side
46,672.50x = 10,489,344,306.25 - Step 5: Solve for x
x = 10,489,344,306.25/46,672.50 - Step 6: Final answer
x = 224,743.57
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.