Finding the Third Proportional to 78,218 and 103,719
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Solution
The third proportional to 78,218 and 103,719 is: 137,533.96
Step by Step Solution
- Step 1: Write the proportion equation
78,218 : 103,719 = 103,719 : x - Step 2: Convert to fraction form
78,218/103,719 = 103,719/x - Step 3: Cross multiply
78,218x = 103,719 × 103,719 - Step 4: Simplify right side
78,218x = 10,757,630,961 - Step 5: Solve for x
x = 10,757,630,961/78,218 - Step 6: Final answer
x = 137,533.96
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.