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Finding the Third Proportional to 106,974 and 169,533

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Solution

The third proportional to 106,974 and 169,533 is: 268,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,974 : 169,533 = 169,533 : x
  2. Step 2: Convert to fraction form
    106,974/169,533 = 169,533/x
  3. Step 3: Cross multiply
    106,974x = 169,533 × 169,533
  4. Step 4: Simplify right side
    106,974x = 28,741,438,089
  5. Step 5: Solve for x
    x = 28,741,438,089/106,974
  6. Step 6: Final answer
    x = 268,676.86

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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.