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Finding the Third Proportional to 125,654 and 188,751

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Solution

The third proportional to 125,654 and 188,751 is: 283,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,654 : 188,751 = 188,751 : x
  2. Step 2: Convert to fraction form
    125,654/188,751 = 188,751/x
  3. Step 3: Cross multiply
    125,654x = 188,751 × 188,751
  4. Step 4: Simplify right side
    125,654x = 35,626,940,001
  5. Step 5: Solve for x
    x = 35,626,940,001/125,654
  6. Step 6: Final answer
    x = 283,532.08

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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.