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Finding the Third Proportional to 106,007 and 163,932

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Solution

The third proportional to 106,007 and 163,932 is: 253,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,007 : 163,932 = 163,932 : x
  2. Step 2: Convert to fraction form
    106,007/163,932 = 163,932/x
  3. Step 3: Cross multiply
    106,007x = 163,932 × 163,932
  4. Step 4: Simplify right side
    106,007x = 26,873,700,624
  5. Step 5: Solve for x
    x = 26,873,700,624/106,007
  6. Step 6: Final answer
    x = 253,508.74

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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.