Finding the Third Proportional to 105,136 and 243,144
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Solution
The third proportional to 105,136 and 243,144 is: 562,309.82
Step by Step Solution
- Step 1: Write the proportion equation
105,136 : 243,144 = 243,144 : x - Step 2: Convert to fraction form
105,136/243,144 = 243,144/x - Step 3: Cross multiply
105,136x = 243,144 × 243,144 - Step 4: Simplify right side
105,136x = 59,119,004,736 - Step 5: Solve for x
x = 59,119,004,736/105,136 - Step 6: Final answer
x = 562,309.82
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.