Finding the Third Proportional to 92,232 and 142,443
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Solution
The third proportional to 92,232 and 142,443 is: 219,988.81
Step by Step Solution
- Step 1: Write the proportion equation
92,232 : 142,443 = 142,443 : x - Step 2: Convert to fraction form
92,232/142,443 = 142,443/x - Step 3: Cross multiply
92,232x = 142,443 × 142,443 - Step 4: Simplify right side
92,232x = 20,290,008,249 - Step 5: Solve for x
x = 20,290,008,249/92,232 - Step 6: Final answer
x = 219,988.81
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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.