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Finding the Third Proportional to 102,525 and 155,204

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Solution

The third proportional to 102,525 and 155,204 is: 234,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,525 : 155,204 = 155,204 : x
  2. Step 2: Convert to fraction form
    102,525/155,204 = 155,204/x
  3. Step 3: Cross multiply
    102,525x = 155,204 × 155,204
  4. Step 4: Simplify right side
    102,525x = 24,088,281,616
  5. Step 5: Solve for x
    x = 24,088,281,616/102,525
  6. Step 6: Final answer
    x = 234,950.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.