Finding the Third Proportional to 75,352 and 102,339
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Solution
The third proportional to 75,352 and 102,339 is: 138,991.28
Step by Step Solution
- Step 1: Write the proportion equation
75,352 : 102,339 = 102,339 : x - Step 2: Convert to fraction form
75,352/102,339 = 102,339/x - Step 3: Cross multiply
75,352x = 102,339 × 102,339 - Step 4: Simplify right side
75,352x = 10,473,270,921 - Step 5: Solve for x
x = 10,473,270,921/75,352 - Step 6: Final answer
x = 138,991.28
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.