Finding the Third Proportional to 102,532 and 137,958
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Solution
The third proportional to 102,532 and 137,958 is: 185,624.10
Step by Step Solution
- Step 1: Write the proportion equation
102,532 : 137,958 = 137,958 : x - Step 2: Convert to fraction form
102,532/137,958 = 137,958/x - Step 3: Cross multiply
102,532x = 137,958 × 137,958 - Step 4: Simplify right side
102,532x = 19,032,409,764 - Step 5: Solve for x
x = 19,032,409,764/102,532 - Step 6: Final answer
x = 185,624.10
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.