Finding the Third Proportional to 31,116 and 67,140
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Solution
The third proportional to 31,116 and 67,140 is: 144,870.15
Step by Step Solution
- Step 1: Write the proportion equation
31,116 : 67,140 = 67,140 : x - Step 2: Convert to fraction form
31,116/67,140 = 67,140/x - Step 3: Cross multiply
31,116x = 67,140 × 67,140 - Step 4: Simplify right side
31,116x = 4,507,779,600 - Step 5: Solve for x
x = 4,507,779,600/31,116 - Step 6: Final answer
x = 144,870.15
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.