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Finding the Third Proportional to 125,048 and 289,238

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Solution

The third proportional to 125,048 and 289,238 is: 669,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,048 : 289,238 = 289,238 : x
  2. Step 2: Convert to fraction form
    125,048/289,238 = 289,238/x
  3. Step 3: Cross multiply
    125,048x = 289,238 × 289,238
  4. Step 4: Simplify right side
    125,048x = 83,658,620,644
  5. Step 5: Solve for x
    x = 83,658,620,644/125,048
  6. Step 6: Final answer
    x = 669,012.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.