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Finding the Third Proportional to 106,038 and 163,977

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Solution

The third proportional to 106,038 and 163,977 is: 253,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,038 : 163,977 = 163,977 : x
  2. Step 2: Convert to fraction form
    106,038/163,977 = 163,977/x
  3. Step 3: Cross multiply
    106,038x = 163,977 × 163,977
  4. Step 4: Simplify right side
    106,038x = 26,888,456,529
  5. Step 5: Solve for x
    x = 26,888,456,529/106,038
  6. Step 6: Final answer
    x = 253,573.78

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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.