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Finding the Third Proportional to 121,131 and 169,741

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Solution

The third proportional to 121,131 and 169,741 is: 237,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,131 : 169,741 = 169,741 : x
  2. Step 2: Convert to fraction form
    121,131/169,741 = 169,741/x
  3. Step 3: Cross multiply
    121,131x = 169,741 × 169,741
  4. Step 4: Simplify right side
    121,131x = 28,812,007,081
  5. Step 5: Solve for x
    x = 28,812,007,081/121,131
  6. Step 6: Final answer
    x = 237,858.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.