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Finding the Third Proportional to 72,009 and 168,230

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Solution

The third proportional to 72,009 and 168,230 is: 393,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,009 : 168,230 = 168,230 : x
  2. Step 2: Convert to fraction form
    72,009/168,230 = 168,230/x
  3. Step 3: Cross multiply
    72,009x = 168,230 × 168,230
  4. Step 4: Simplify right side
    72,009x = 28,301,332,900
  5. Step 5: Solve for x
    x = 28,301,332,900/72,009
  6. Step 6: Final answer
    x = 393,024.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.