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Finding the Third Proportional to 106,453 and 148,013

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Solution

The third proportional to 106,453 and 148,013 is: 205,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,453 : 148,013 = 148,013 : x
  2. Step 2: Convert to fraction form
    106,453/148,013 = 148,013/x
  3. Step 3: Cross multiply
    106,453x = 148,013 × 148,013
  4. Step 4: Simplify right side
    106,453x = 21,907,848,169
  5. Step 5: Solve for x
    x = 21,907,848,169/106,453
  6. Step 6: Final answer
    x = 205,798.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.