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Finding the Third Proportional to 125,072 and 187,392

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Solution

The third proportional to 125,072 and 187,392 is: 280,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,072 : 187,392 = 187,392 : x
  2. Step 2: Convert to fraction form
    125,072/187,392 = 187,392/x
  3. Step 3: Cross multiply
    125,072x = 187,392 × 187,392
  4. Step 4: Simplify right side
    125,072x = 35,115,761,664
  5. Step 5: Solve for x
    x = 35,115,761,664/125,072
  6. Step 6: Final answer
    x = 280,764.37

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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.