Finding the Third Proportional to 65,174 and 97,470
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Solution
The third proportional to 65,174 and 97,470 is: 145,769.80
Step by Step Solution
- Step 1: Write the proportion equation
65,174 : 97,470 = 97,470 : x - Step 2: Convert to fraction form
65,174/97,470 = 97,470/x - Step 3: Cross multiply
65,174x = 97,470 × 97,470 - Step 4: Simplify right side
65,174x = 9,500,400,900 - Step 5: Solve for x
x = 9,500,400,900/65,174 - Step 6: Final answer
x = 145,769.80
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.