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Finding the Third Proportional to 106,881 and 169,234.50

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Solution

The third proportional to 106,881 and 169,234.50 is: 267,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,881 : 169,234.50 = 169,234.50 : x
  2. Step 2: Convert to fraction form
    106,881/169,234.50 = 169,234.50/x
  3. Step 3: Cross multiply
    106,881x = 169,234.50 × 169,234.50
  4. Step 4: Simplify right side
    106,881x = 28,640,315,990.25
  5. Step 5: Solve for x
    x = 28,640,315,990.25/106,881
  6. Step 6: Final answer
    x = 267,964.52

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Why These Related Problems?

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