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Finding the Third Proportional to 125,204 and 187,768

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Solution

The third proportional to 125,204 and 187,768 is: 281,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,204 : 187,768 = 187,768 : x
  2. Step 2: Convert to fraction form
    125,204/187,768 = 187,768/x
  3. Step 3: Cross multiply
    125,204x = 187,768 × 187,768
  4. Step 4: Simplify right side
    125,204x = 35,256,821,824
  5. Step 5: Solve for x
    x = 35,256,821,824/125,204
  6. Step 6: Final answer
    x = 281,595.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.