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Finding the Third Proportional to 142,724 and 192,247

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Solution

The third proportional to 142,724 and 192,247 is: 258,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,724 : 192,247 = 192,247 : x
  2. Step 2: Convert to fraction form
    142,724/192,247 = 192,247/x
  3. Step 3: Cross multiply
    142,724x = 192,247 × 192,247
  4. Step 4: Simplify right side
    142,724x = 36,958,909,009
  5. Step 5: Solve for x
    x = 36,958,909,009/142,724
  6. Step 6: Final answer
    x = 258,953.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.