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Finding the Third Proportional to 106,580 and 153,977

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Solution

The third proportional to 106,580 and 153,977 is: 222,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580 : 153,977 = 153,977 : x
  2. Step 2: Convert to fraction form
    106,580/153,977 = 153,977/x
  3. Step 3: Cross multiply
    106,580x = 153,977 × 153,977
  4. Step 4: Simplify right side
    106,580x = 23,708,916,529
  5. Step 5: Solve for x
    x = 23,708,916,529/106,580
  6. Step 6: Final answer
    x = 222,451.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.