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Finding the Third Proportional to 106,967 and 166,301

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Solution

The third proportional to 106,967 and 166,301 is: 258,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,967 : 166,301 = 166,301 : x
  2. Step 2: Convert to fraction form
    106,967/166,301 = 166,301/x
  3. Step 3: Cross multiply
    106,967x = 166,301 × 166,301
  4. Step 4: Simplify right side
    106,967x = 27,656,022,601
  5. Step 5: Solve for x
    x = 27,656,022,601/106,967
  6. Step 6: Final answer
    x = 258,547.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.