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Finding the Third Proportional to 125,592 and 188,669

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Solution

The third proportional to 125,592 and 188,669 is: 283,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,592 : 188,669 = 188,669 : x
  2. Step 2: Convert to fraction form
    125,592/188,669 = 188,669/x
  3. Step 3: Cross multiply
    125,592x = 188,669 × 188,669
  4. Step 4: Simplify right side
    125,592x = 35,595,991,561
  5. Step 5: Solve for x
    x = 35,595,991,561/125,592
  6. Step 6: Final answer
    x = 283,425.63

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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.