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Finding the Third Proportional to 106,692 and 155,652

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Solution

The third proportional to 106,692 and 155,652 is: 227,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692 : 155,652 = 155,652 : x
  2. Step 2: Convert to fraction form
    106,692/155,652 = 155,652/x
  3. Step 3: Cross multiply
    106,692x = 155,652 × 155,652
  4. Step 4: Simplify right side
    106,692x = 24,227,545,104
  5. Step 5: Solve for x
    x = 24,227,545,104/106,692
  6. Step 6: Final answer
    x = 227,079.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.