Finding the Third Proportional to 77,878 and 122,008
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Solution
The third proportional to 77,878 and 122,008 is: 191,144.51
Step by Step Solution
- Step 1: Write the proportion equation
77,878 : 122,008 = 122,008 : x - Step 2: Convert to fraction form
77,878/122,008 = 122,008/x - Step 3: Cross multiply
77,878x = 122,008 × 122,008 - Step 4: Simplify right side
77,878x = 14,885,952,064 - Step 5: Solve for x
x = 14,885,952,064/77,878 - Step 6: Final answer
x = 191,144.51
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.