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Finding the Third Proportional to 72,003 and 168,215

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Solution

The third proportional to 72,003 and 168,215 is: 392,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,003 : 168,215 = 168,215 : x
  2. Step 2: Convert to fraction form
    72,003/168,215 = 168,215/x
  3. Step 3: Cross multiply
    72,003x = 168,215 × 168,215
  4. Step 4: Simplify right side
    72,003x = 28,296,286,225
  5. Step 5: Solve for x
    x = 28,296,286,225/72,003
  6. Step 6: Final answer
    x = 392,987.60

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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.