Finding the Third Proportional to 105,160 and 223,712
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Solution
The third proportional to 105,160 and 223,712 is: 475,913.46
Step by Step Solution
- Step 1: Write the proportion equation
105,160 : 223,712 = 223,712 : x - Step 2: Convert to fraction form
105,160/223,712 = 223,712/x - Step 3: Cross multiply
105,160x = 223,712 × 223,712 - Step 4: Simplify right side
105,160x = 50,047,058,944 - Step 5: Solve for x
x = 50,047,058,944/105,160 - Step 6: Final answer
x = 475,913.46
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.