Finding the Third Proportional to 70,124 and 105,914
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Solution
The third proportional to 70,124 and 105,914 is: 159,970.56
Step by Step Solution
- Step 1: Write the proportion equation
70,124 : 105,914 = 105,914 : x - Step 2: Convert to fraction form
70,124/105,914 = 105,914/x - Step 3: Cross multiply
70,124x = 105,914 × 105,914 - Step 4: Simplify right side
70,124x = 11,217,775,396 - Step 5: Solve for x
x = 11,217,775,396/70,124 - Step 6: Final answer
x = 159,970.56
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.