Finding the Third Proportional to 99,782 and 157,972
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Solution
The third proportional to 99,782 and 157,972 is: 250,096.74
Step by Step Solution
- Step 1: Write the proportion equation
99,782 : 157,972 = 157,972 : x - Step 2: Convert to fraction form
99,782/157,972 = 157,972/x - Step 3: Cross multiply
99,782x = 157,972 × 157,972 - Step 4: Simplify right side
99,782x = 24,955,152,784 - Step 5: Solve for x
x = 24,955,152,784/99,782 - Step 6: Final answer
x = 250,096.74
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.