Finding the Third Proportional to 56,098 and 86,222
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Solution
The third proportional to 56,098 and 86,222 is: 132,522.25
Step by Step Solution
- Step 1: Write the proportion equation
56,098 : 86,222 = 86,222 : x - Step 2: Convert to fraction form
56,098/86,222 = 86,222/x - Step 3: Cross multiply
56,098x = 86,222 × 86,222 - Step 4: Simplify right side
56,098x = 7,434,233,284 - Step 5: Solve for x
x = 7,434,233,284/56,098 - Step 6: Final answer
x = 132,522.25
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.