Finding the Third Proportional to 78,010 and 119,929
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Solution
The third proportional to 78,010 and 119,929 is: 184,373.35
Step by Step Solution
- Step 1: Write the proportion equation
78,010 : 119,929 = 119,929 : x - Step 2: Convert to fraction form
78,010/119,929 = 119,929/x - Step 3: Cross multiply
78,010x = 119,929 × 119,929 - Step 4: Simplify right side
78,010x = 14,382,965,041 - Step 5: Solve for x
x = 14,382,965,041/78,010 - Step 6: Final answer
x = 184,373.35
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.