Finding the Third Proportional to 42,312 and 59,157
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Solution
The third proportional to 42,312 and 59,157 is: 82,708.23
Step by Step Solution
- Step 1: Write the proportion equation
42,312 : 59,157 = 59,157 : x - Step 2: Convert to fraction form
42,312/59,157 = 59,157/x - Step 3: Cross multiply
42,312x = 59,157 × 59,157 - Step 4: Simplify right side
42,312x = 3,499,550,649 - Step 5: Solve for x
x = 3,499,550,649/42,312 - Step 6: Final answer
x = 82,708.23
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.