Finding the Third Proportional to 114,122 and 171,534
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Solution
The third proportional to 114,122 and 171,534 is: 257,828.58
Step by Step Solution
- Step 1: Write the proportion equation
114,122 : 171,534 = 171,534 : x - Step 2: Convert to fraction form
114,122/171,534 = 171,534/x - Step 3: Cross multiply
114,122x = 171,534 × 171,534 - Step 4: Simplify right side
114,122x = 29,423,913,156 - Step 5: Solve for x
x = 29,423,913,156/114,122 - Step 6: Final answer
x = 257,828.58
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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.