Finding the Third Proportional to 51,970 and 112,140
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Solution
The third proportional to 51,970 and 112,140 is: 241,973.82
Step by Step Solution
- Step 1: Write the proportion equation
51,970 : 112,140 = 112,140 : x - Step 2: Convert to fraction form
51,970/112,140 = 112,140/x - Step 3: Cross multiply
51,970x = 112,140 × 112,140 - Step 4: Simplify right side
51,970x = 12,575,379,600 - Step 5: Solve for x
x = 12,575,379,600/51,970 - Step 6: Final answer
x = 241,973.82
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.