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Finding the Third Proportional to 106,037 and 163,976

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Solution

The third proportional to 106,037 and 163,976 is: 253,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,037 : 163,976 = 163,976 : x
  2. Step 2: Convert to fraction form
    106,037/163,976 = 163,976/x
  3. Step 3: Cross multiply
    106,037x = 163,976 × 163,976
  4. Step 4: Simplify right side
    106,037x = 26,888,128,576
  5. Step 5: Solve for x
    x = 26,888,128,576/106,037
  6. Step 6: Final answer
    x = 253,573.08

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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.