Finding the Third Proportional to 103,242 and 152,943
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Solution
The third proportional to 103,242 and 152,943 is: 226,570.21
Step by Step Solution
- Step 1: Write the proportion equation
103,242 : 152,943 = 152,943 : x - Step 2: Convert to fraction form
103,242/152,943 = 152,943/x - Step 3: Cross multiply
103,242x = 152,943 × 152,943 - Step 4: Simplify right side
103,242x = 23,391,561,249 - Step 5: Solve for x
x = 23,391,561,249/103,242 - Step 6: Final answer
x = 226,570.21
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.