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Finding the Third Proportional to 125,958 and 188,265

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Solution

The third proportional to 125,958 and 188,265 is: 281,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,958 : 188,265 = 188,265 : x
  2. Step 2: Convert to fraction form
    125,958/188,265 = 188,265/x
  3. Step 3: Cross multiply
    125,958x = 188,265 × 188,265
  4. Step 4: Simplify right side
    125,958x = 35,443,710,225
  5. Step 5: Solve for x
    x = 35,443,710,225/125,958
  6. Step 6: Final answer
    x = 281,393.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.