Finding the Third Proportional to 102,237 and 209,574
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Solution
The third proportional to 102,237 and 209,574 is: 429,602.41
Step by Step Solution
- Step 1: Write the proportion equation
102,237 : 209,574 = 209,574 : x - Step 2: Convert to fraction form
102,237/209,574 = 209,574/x - Step 3: Cross multiply
102,237x = 209,574 × 209,574 - Step 4: Simplify right side
102,237x = 43,921,261,476 - Step 5: Solve for x
x = 43,921,261,476/102,237 - Step 6: Final answer
x = 429,602.41
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.