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Finding the Third Proportional to 134,950 and 192,239

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Solution

The third proportional to 134,950 and 192,239 is: 273,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,950 : 192,239 = 192,239 : x
  2. Step 2: Convert to fraction form
    134,950/192,239 = 192,239/x
  3. Step 3: Cross multiply
    134,950x = 192,239 × 192,239
  4. Step 4: Simplify right side
    134,950x = 36,955,833,121
  5. Step 5: Solve for x
    x = 36,955,833,121/134,950
  6. Step 6: Final answer
    x = 273,848.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.