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Finding the Third Proportional to 106,460 and 167,004

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Solution

The third proportional to 106,460 and 167,004 is: 261,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,460 : 167,004 = 167,004 : x
  2. Step 2: Convert to fraction form
    106,460/167,004 = 167,004/x
  3. Step 3: Cross multiply
    106,460x = 167,004 × 167,004
  4. Step 4: Simplify right side
    106,460x = 27,890,336,016
  5. Step 5: Solve for x
    x = 27,890,336,016/106,460
  6. Step 6: Final answer
    x = 261,979.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.