Finding the Third Proportional to 54,219.50 and 83,443
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Solution
The third proportional to 54,219.50 and 83,443 is: 128,417.53
Step by Step Solution
- Step 1: Write the proportion equation
54,219.50 : 83,443 = 83,443 : x - Step 2: Convert to fraction form
54,219.50/83,443 = 83,443/x - Step 3: Cross multiply
54,219.50x = 83,443 × 83,443 - Step 4: Simplify right side
54,219.50x = 6,962,734,249 - Step 5: Solve for x
x = 6,962,734,249/54,219.50 - Step 6: Final answer
x = 128,417.53
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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.