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Finding the Third Proportional to 124,673 and 188,503

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Solution

The third proportional to 124,673 and 188,503 is: 285,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,673 : 188,503 = 188,503 : x
  2. Step 2: Convert to fraction form
    124,673/188,503 = 188,503/x
  3. Step 3: Cross multiply
    124,673x = 188,503 × 188,503
  4. Step 4: Simplify right side
    124,673x = 35,533,381,009
  5. Step 5: Solve for x
    x = 35,533,381,009/124,673
  6. Step 6: Final answer
    x = 285,012.64

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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.