Finding the Third Proportional to 105,484 and 140,907
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Solution
The third proportional to 105,484 and 140,907 is: 188,225.54
Step by Step Solution
- Step 1: Write the proportion equation
105,484 : 140,907 = 140,907 : x - Step 2: Convert to fraction form
105,484/140,907 = 140,907/x - Step 3: Cross multiply
105,484x = 140,907 × 140,907 - Step 4: Simplify right side
105,484x = 19,854,782,649 - Step 5: Solve for x
x = 19,854,782,649/105,484 - Step 6: Final answer
x = 188,225.54
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.