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Finding the Third Proportional to 130,688 and 192,204

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Solution

The third proportional to 130,688 and 192,204 is: 282,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,688 : 192,204 = 192,204 : x
  2. Step 2: Convert to fraction form
    130,688/192,204 = 192,204/x
  3. Step 3: Cross multiply
    130,688x = 192,204 × 192,204
  4. Step 4: Simplify right side
    130,688x = 36,942,377,616
  5. Step 5: Solve for x
    x = 36,942,377,616/130,688
  6. Step 6: Final answer
    x = 282,676.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.