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Finding the Third Proportional to 106,882.50 and 169,236

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Solution

The third proportional to 106,882.50 and 169,236 is: 267,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,882.50 : 169,236 = 169,236 : x
  2. Step 2: Convert to fraction form
    106,882.50/169,236 = 169,236/x
  3. Step 3: Cross multiply
    106,882.50x = 169,236 × 169,236
  4. Step 4: Simplify right side
    106,882.50x = 28,640,823,696
  5. Step 5: Solve for x
    x = 28,640,823,696/106,882.50
  6. Step 6: Final answer
    x = 267,965.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.