Finding the Third Proportional to 65,422.50 and 103,762
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Solution
The third proportional to 65,422.50 and 103,762 is: 164,569.57
Step by Step Solution
- Step 1: Write the proportion equation
65,422.50 : 103,762 = 103,762 : x - Step 2: Convert to fraction form
65,422.50/103,762 = 103,762/x - Step 3: Cross multiply
65,422.50x = 103,762 × 103,762 - Step 4: Simplify right side
65,422.50x = 10,766,552,644 - Step 5: Solve for x
x = 10,766,552,644/65,422.50 - Step 6: Final answer
x = 164,569.57
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.