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Finding the Third Proportional to 106,958 and 169,509

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Solution

The third proportional to 106,958 and 169,509 is: 268,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,958 : 169,509 = 169,509 : x
  2. Step 2: Convert to fraction form
    106,958/169,509 = 169,509/x
  3. Step 3: Cross multiply
    106,958x = 169,509 × 169,509
  4. Step 4: Simplify right side
    106,958x = 28,733,301,081
  5. Step 5: Solve for x
    x = 28,733,301,081/106,958
  6. Step 6: Final answer
    x = 268,640.97

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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.