Finding the Third Proportional to 84,184 and 140,289
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Solution
The third proportional to 84,184 and 140,289 is: 233,785.56
Step by Step Solution
- Step 1: Write the proportion equation
84,184 : 140,289 = 140,289 : x - Step 2: Convert to fraction form
84,184/140,289 = 140,289/x - Step 3: Cross multiply
84,184x = 140,289 × 140,289 - Step 4: Simplify right side
84,184x = 19,681,003,521 - Step 5: Solve for x
x = 19,681,003,521/84,184 - Step 6: Final answer
x = 233,785.56
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.