Finding the Third Proportional to 72,830 and 98,399
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Solution
The third proportional to 72,830 and 98,399 is: 132,944.71
Step by Step Solution
- Step 1: Write the proportion equation
72,830 : 98,399 = 98,399 : x - Step 2: Convert to fraction form
72,830/98,399 = 98,399/x - Step 3: Cross multiply
72,830x = 98,399 × 98,399 - Step 4: Simplify right side
72,830x = 9,682,363,201 - Step 5: Solve for x
x = 9,682,363,201/72,830 - Step 6: Final answer
x = 132,944.71
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.