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Finding the Third Proportional to 130,138 and 192,652

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Solution

The third proportional to 130,138 and 192,652 is: 285,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,138 : 192,652 = 192,652 : x
  2. Step 2: Convert to fraction form
    130,138/192,652 = 192,652/x
  3. Step 3: Cross multiply
    130,138x = 192,652 × 192,652
  4. Step 4: Simplify right side
    130,138x = 37,114,793,104
  5. Step 5: Solve for x
    x = 37,114,793,104/130,138
  6. Step 6: Final answer
    x = 285,195.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.