Finding the Third Proportional to 65,963.75 and 102,203.75
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Solution
The third proportional to 65,963.75 and 102,203.75 is: 158,353.74
Step by Step Solution
- Step 1: Write the proportion equation
65,963.75 : 102,203.75 = 102,203.75 : x - Step 2: Convert to fraction form
65,963.75/102,203.75 = 102,203.75/x - Step 3: Cross multiply
65,963.75x = 102,203.75 × 102,203.75 - Step 4: Simplify right side
65,963.75x = 10,445,606,514.06 - Step 5: Solve for x
x = 10,445,606,514.06/65,963.75 - Step 6: Final answer
x = 158,353.74
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.