Finding the Third Proportional to 97,316 and 146,670
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Solution
The third proportional to 97,316 and 146,670 is: 221,053.98
Step by Step Solution
- Step 1: Write the proportion equation
97,316 : 146,670 = 146,670 : x - Step 2: Convert to fraction form
97,316/146,670 = 146,670/x - Step 3: Cross multiply
97,316x = 146,670 × 146,670 - Step 4: Simplify right side
97,316x = 21,512,088,900 - Step 5: Solve for x
x = 21,512,088,900/97,316 - Step 6: Final answer
x = 221,053.98
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.